Guide to Pairing-Based Cryptography

by Nadia El Mrabet (Editor), Marc Joye (Editor)

Overview

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes.

As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments in optimizations for pairing implementation. Each chapter includes a presentation of the problem it discusses, the mathematical formulation, a discussion of implementation issues, solutions accompanied by code or pseudocode, several numerical results, and references to further reading and notes.

Intended as a self-contained handbook, this book is an invaluable resource for computer scientists, applied mathematicians and security professionals interested in cryptography.

Product Details

ISBN-13:	9781315353142
Publisher:	CRC Press
Publication date:	01/06/2017
Series:	Chapman & Hall/CRC Cryptography and Network Security Series
Sold by:	Barnes & Noble
Format:	eBook
Pages:	420
File size:	11 MB
Note:	This product may take a few minutes to download.

About the Author

Nadia El Mrabet  is an assistant professor at SAS - Ecole des Mines de Saint Etienne, Gardanne, France. She previously taught at the University of Paris 8 Vincennes, Saint-Denis, France. She completed her PhD at Université Montpellier 2, France, in 2009.

Marc Joye received his Ph.D. degree in applied sciences (cryptography) from the Université Catholique de Louvain, Belgium, in 1997. In 1998 and 1999, he was a post-doctoral fellow of the National Science Council, Taiwan. From 1999 to 2006, he was with the Card Security Group, Gemplus (now Gemalto), France. From 2006 to 2016, he was with Technicolor (formerly Thomson R&D), France & USA. Since 2016, he has been with NXP Semiconductors, USA.

Table of Contents

Introduction. Mathematical Background. Pairings. Pairing-Friendly Elliptic Curves. Miller's Algorithm. Arithmetic of Finite Fields. Final Exponentiation. Algorithms. Software Implementation. Hardware Implementation.