Guide to pairing-based cryptography

✍ Scribed by El Mrabet, Nadia; Joye, Marc

• Publisher: Chapman and Hall/CRC
• Year: 2017
• Tongue: English
• Leaves: 421
• Series: Chapman & Hall/CRC cryptography and network security
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Content: 1. Pairing-based cryptography / Sébastien Canard and Jacques Traoré --
2. Mathematical background / Jean-Luc Beuchat, Nadia El Mrabet, Laura Fuentes-Castañeda, and Francisco Rodríguez-Henríquez --
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-Castañeda, and Francisco Rodríguez-Henríquez --
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-Jiménez, Francisco Rodríguez-Henríquez, and Mehdi Tibouchi --
9. Discrete logarithms / Aurore Guillevic and François 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.

✦ Subjects

Data encryption (Computer science) -- Mathematics.;Cryptography.;Sets of pairs of functions to be distinguished.;Curves, Elliptic.