Includes bibliographical references (pages 191-198) and indexes
Ch. I. Introduction -- Ch. II. Finite Field Arithmetic -- Ch. III. Arithmetic on an Elliptic Curve -- Ch. IV. Efficient Implementation of Elliptic Curves -- Ch. V. The Elliptic Curve Discrete Logarithm Problem -- Ch. VI. Determining the Group Order -- Ch. VII. Schoof's Algorithm and Extensions -- Ch. VIII. Generating Curves using Complex Multiplication -- Ch. IX. Other Applications of Elliptic Curves -- Ch. X. Hyperelliptic Cryptosystems -- App. A. Curve Examples
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Elliptic curve cryptography is a major challenger to the dominant RSA/DSA systems, with increased speed, less memory required and smaller key sizes. This book summarises knowledge built up within Hewlett Packard over a number of years