1.

Record Nr.

UNINA9910957815303321

Autore

El Mrabet Nadia

Titolo

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

Pubbl/distr/stampa

Boca Raton : , : CRC Press, , [2017]

©2017

ISBN

1-315-35314-8

1-315-37017-4

1-4987-2951-7

Edizione

[1st ed.]

Descrizione fisica

1 online resource (32 pages)

Collana

Chapman & Hall/CRC cryptography and network security issues

Disciplina

005.8/2

Soggetti

Curves, Elliptic

Cryptography

Sets of pairs of functions to be distinguished

Data encryption (Computer science) - Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.