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