Table of Contents

Mathematical Background. Elementary Arithmetic. Arithmetic of Curves. Point Counting. Computation of Discrete Logarithms. Applications. Realizations of DL Systems. References.

Reviews

! very comprehensive coverage of this vast subject area ! a useful and essential treatise for anyone involved in elliptic curve algorithms ! this book offers the opportunity to grasp the ECC technology with a diversified and comprehensive perspective. ! This book will remain on my shelf for a long time and will land on my desk on many occasions, if only because the coverage of the issues common to factoring and discrete log cryptosystems is excellent. --IACR Book Reviews, June 2011 ! the book is designed for people who are working in the area and want to learn more about a specific issue. The chapters are written to be relatively independent so that readers can focus on the part of interest for them. Such readers will be grateful for the excellent index and extensive bibliography. ! the handbook covers a wide range of topics and will be a valuable reference for researchers in curve-based cryptography. --Steven D. Galbraith, Mathematical Reviews, Issue 2007f