Applications of Bilinear Maps in Cryptography
It was recently discovered by Joux  and Sakai, Ohgishi and Kasahara  that bilinear maps could be used to construct cryptographic schemes. Since then, bilinear maps have been used in applications as varied as identity-based encryption, short signatures and one-round tripartite key agreement.
This thesis explains the notion of bilinear maps and surveys the applications of bilinear maps in the three main fields of cryptography: encryption, signature and key agreement. We also show how these maps can be constructed using the Weil and Tate pairings in elliptic curves.
School:University of Waterloo
School Location:Canada - Ontario
Source Type:Master's Thesis
Keywords:mathematics cryptography bilinear map elliptic curve pairing identity based
Date of Publication:01/01/2002