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Other titles in the London Mathematical Society Lecture Notes series:

London Mathematical Society Lecture Note Series #265: Elliptic Curves in Cryptography

by Ian F. Blake

London Mathematical Society Lecture Note Series #265: Elliptic Curves in Cryptography Cover

 

Synopses & Reviews

Publisher Comments:

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 systems. Since the mathematics is advanced, a high barrier to entry exists for individuals and companies new to this technology. Hence, this book will be invaluable not only to mathematicians but also to engineers and computer scientists who want to actually implement such systems.

Synopsis:

This book explains the mathematics behind practical implementations of elliptic curve systems.

Synopsis:

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. Due 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.

Table of Contents

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.

Product Details

ISBN:
9780521653749
Other:
Blake, Ian F.
Other:
Blake, I.
Author:
Blake, I.
Author:
Cassels, J. W. S.
Author:
Blake, Ian F.
Author:
Seroussi, G.
Author:
Smart, N.
Publisher:
Cambridge University Press
Location:
Cambridge ;
Subject:
General
Subject:
Applied
Subject:
Number Theory
Subject:
Computer security
Subject:
Security
Subject:
Cryptography
Subject:
Curves, Elliptic
Subject:
Curves, Elliptic -- Data processing.
Subject:
Cryptographie
Subject:
Protection de l'information
Subject:
Courbes elliptiques
Subject:
General Mathematics
Subject:
Security - General
Subject:
Mathematics-Applied
Edition Number:
1
Edition Description:
Trade paper
Series:
London Mathematical Society Lecture Note Series
Series Volume:
no.29265
Publication Date:
19990731
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
224
Dimensions:
8.96x6.03x.45 in. .68 lbs.

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London Mathematical Society Lecture Note Series #265: Elliptic Curves in Cryptography New Trade Paper
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$92.50 In Stock
Product details 224 pages Cambridge University Press - English 9780521653749 Reviews:
"Synopsis" by , This book explains the mathematics behind practical implementations of elliptic curve systems.
"Synopsis" by , 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. Due 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.
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