Elliptic Curves in Cryptography

London Mathematical Society Lecture Note #265

by Ian F. Blake, Gadiel Seroussi, Nigel P. Smart

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.

221 pages, ebook

First published January 1, 1999

Reviews

[Dan · Rating 4 out of 5]

This is a good book for a high level introduction to the Mathematics behind Elliptic Curve Cryptography.

It does not go into a great amount of detail, but it is relatively clearly written, and that definitely counts for a lot. Also, it has a very comprehensive list of references, and cites them well, so it is easy to track down the details.

So far I have used this book to learn about:

1) Isogenies - a high level introduction / definitions.
2) Complex Multiplication - I got introduced to the subject here.

I read this book because my boss Kristin Lauter suggested it was a good place to start learning about ECC.