|
UWSpace >
University of Waterloo >
Electronic Theses and Dissertations (UW) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10012/1134
|
| Title: | Applications of Bilinear Maps in Cryptography |
| Authors: | Gagne, Martin |
| Keywords: | Mathematics
cryptography
bilinear map
elliptic curve
pairing
identity-based |
| Approved Date: | 2002 |
| Date Submitted: | 2002 |
| Abstract: | It was recently discovered by Joux [30] and Sakai, Ohgishi and Kasahara [47] 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. |
| Department: | Combinatorics and Optimization |
| Degree: | Master of Mathematics |
| URI: | http://hdl.handle.net/10012/1134 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Mathematics Theses and Dissertations
|
This item is protected by original copyright
|
All items in UWSpace are protected by copyright, with all rights reserved.
|
