TY  - BOOK
AU  - Blake,Ian F.
AU  - Seroussi,G.
AU  - Smart,Nigel P.
TI  - Elliptic curves in cryptography
T2  - London Mathematical Society lecture note series
SN  - 9781107360211 (ebook)
AV  - QA76.9.A25 .B57 1999
U1  - 005.8/2 21
PY  - 1999///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Computer security
KW  - Cryptography
KW  - Curves, Elliptic
KW  - Data processing
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - In the past few years elliptic curve cryptography has moved from a fringe activity to a major challenger to the dominant RSA/DSA systems. Elliptic curves offer major advances on older systems such as increased speed, less memory and smaller key sizes. As digital signatures become more and more important in the commercial world the use of elliptic curve-based signatures will become all pervasive. 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
UR  - https://doi.org/10.1017/CBO9781107360211
ER  -