Elliptic curves in cryptography /
I.F. Blake, G. Seroussi, N.P. Smart.
- Cambridge, U.K. : Cambridge University Press, 1999
- xv, 204 p. ; 23 cm.
- London Mathematical Society lecture note series ; 265 .
Preface. - Abbreviations and Standard Notation. - 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. - Appendix A. Curve Examples. - Bibliography. - Author Index. - Subject Index
This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Owing to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems. - Back cover.