This book will be devoted to efficient pairing computations and implementations. Pairings are a very interesting tool for cryptographers; they provide new protocols such as Identity Based Cryptography and 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. Various pairings available for cryptographic use will be provided, as well as the necessary mathematical background about finite fields and elliptic curves.
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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.
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