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Elliptic curves in cryptography

โœ Scribed by Ian F Blake; G Seroussi; Nigel P Smart (eds.)

Publisher
Cambridge University Press
Year
1999
Tongue
English
Leaves
218
Series
London Mathematical Society lecture note series, 265
Category
Library
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โœฆ Synopsis

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. Preface; 1. Introduction; 2. Finite field arithmetic; 3. Arithmetic on an elliptic curve; 4. Efficient implementation of elliptic curves; 5. The elliptic curve discrete logarithm problem; 6. Determining the group order; 7. Schoof's algorithm and extensions; 8. Generating curves using complex multiplication; 9. Other applications of elliptic curves; 10. Hyperelliptic curves; Appendix A. Curve examples; Bibliography; Author index; Subject index

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In the past few years elliptic curve cryptography has moved from a fringe activity to a major system in the commercial world. This timely work summarizes knowledge gathered at Hewlett-Packard over a number of years and explains the mathematics behind practical implementations of elliptic curve syste

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โœ Ian F. Blake ๐Ÿ“‚ Library ๐Ÿ“… 2005 ๐Ÿ› Cambridge University Press ๐ŸŒ English

Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and impor

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Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and impor