El Mrabet / Joye Guide to Pairing-Based Cryptography

Erscheinungsjahr 2016
ISBN: 978-1-4987-2951-2
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 420 Seiten

Pairings are interesting tools for cryptographers, because they provide new protocols such as identity-based cryptography, plus they allow the simplification of existing protocols such as signature schemes. The implementation of a pairing involves several levels of arithmetic: the arithmetic of finite fields, extensions of finite fields, the arithmetic of elliptic curves, and several algorithmic problems. This book provides various pairings available for cryptographic use, as well as the necessary mathematical background about finite fields and elliptic curves.

Zielgruppe

This book is intended for cryptographers and security researchers. It also would be useful to engineers implementing cryptographic protocols.

Autoren/Hrsg.

El Mrabet, Nadia

Joye, Marc

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit Kryptographie, Datenverschlüsselung

Inhaltsverzeichnis

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

Über Autor(innen)

Nadia El Mrabet, Ph.D, is an assistant professor at the University of Paris 8 Vincennes, Saint-Denis, France.

Marc Joye, Ph.D, is affiliated with Technicolor, Paris, France.