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Elliptic curves in cryptography / I.F. Blake, G. Seroussi, N.P. Smart.

By: Blake, Ian F.
Contributor(s): Seroussi, G. (Gadiel), 1955- [(j.a)] | Smart, Nigel P. (Nigel Paul), 1967- [(j.a.)].
Series: London Mathematical Society lecture note series ; 265. Publisher: Cambridge, U.K. : Cambridge University Press, 1999Description: xv, 204 p. ; 23 cm.ISBN: 0521653746.Subject(s): Computer security | Cryptography | Curves, Elliptic -- Data processingDDC classification: 005.82
Contents:
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
Summary: 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.
Item type Current location Call number Copy number Status Notes Date due Barcode Remark
Main Collection TU External Storage-LCS
005.82 BLA (Browse shelf) 1 Available SOCIT, SOCIT, 560498 1000109243 Please fill up online form at https://taylorslibrary.taylors.edu.my/services/external_storage1

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.