Guide to pairing-based cryptography / Nadia El Mrabet, SAS, Ecole des Mines de Saint Etienne, Gardanne, France, Marc Joye, NXP Semiconductors, San Jose, USA.

Format:

Book

Author/Creator:

El Mrabet, Nadia, author.

Joye, Marc, 1969- author.

Series:

Chapman & Hall/CRC cryptography and network security.

Chapman & Hall/CRC cryptography and network security issues

Language:

English

Subjects (All):

Curves, Elliptic.

Cryptography.

Sets of pairs of functions to be distinguished.

Data encryption (Computer science)--Mathematics.

Data encryption (Computer science).

Physical Description:

1 online resource (32 pages).

Edition:

1st ed.

Place of Publication:

Boca Raton : CRC Press, [2017]

Summary:

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.

Contents:

1. Pairing-based cryptography / Sebastien Canard and Jacques Traore?

2. Mathematical background / Jean-Luc Beuchat, Nadia El Mrabet, Laura Fuentes-Casta/eda, and Francisco Rodriguez-Henriquez

3. Pairings / Sorina Ionica and Damien Robert

4. Pairing-friendly elliptic curves / Safia Haloui and Edlyn Teske

5. Arithmetic of finite fields / Jean Luc Beuchat, Luis J. Dominguez Perez, Sylvain Duquesne, Nadia El Mrabet, Laura Fuentes-Casta/eda, and Francisco Rodriguez-Henriquez

6. Scalar multiplication and exponentiation in pairing groups / Joppe Bos, Craig Costello, and Michael Naehrig

7. Final exponentiation / Jean-Luc Beuchat, Luis J. Dominguez Perez, Laura Fuentes-Castaneda, and Francsico Rodriguez-Henriquez

8. Hashing into elliptic curves / Eduardo Ochoa-Jimenez, Francisco Rodriguez-Henriquez, and Mehdi Tibouchi

9. Discrete logarithms / Aurore Guillevic and Francois Morain

10. Choosing parameters / Sylvain Duquesne, Nadia El Mrabet, Safia Haloui, Damien Robert, and Franck Rondepierre

11. Software implementation / Diego F. Aranha, Luis J. Dominguez Perez, Amine Mrabet, and Peter Schwabe

12. Physical attacks / Nadia El Mrabet, Louis Goubin, Sylvain Guilley, Jacques Fournier, Damien Jauvart, Martin Moreau, Pablo Rauzy, and Franck Rondepierre.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-315-35314-8

1-315-37017-4

1-4987-2951-7

9781315370170

OCLC:

967412336