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JSS
2011
106views more  JSS 2011»
12 years 8 months ago
A family of implementation-friendly BN elliptic curves
For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it p...
C. C. F. Pereira Geovandro, Marcos A. Simplí...
ICONS
2008
IEEE
13 years 11 months ago
An Efficient Hardware Implementation of the Tate Pairing in Characteristic Three
DL systems with bilinear structure recently became an important base for cryptographic protocols such as identity-based encryption (IBE). Since the main computational task is the ...
Giray Kömürcü, Erkay Savas
IJNSEC
2008
106views more  IJNSEC 2008»
13 years 5 months ago
Parallel Hardware Architectures for the Cryptographic Tate Pairing
Identity-based cryptography uses pairing functions,which are sophisticated bilinear maps defined on elliptic curves.Computing pairings efficiently in software is presently a relev...
Guido Marco Bertoni, Luca Breveglieri, Pasqualina ...
PAIRING
2007
Springer
140views Cryptology» more  PAIRING 2007»
13 years 11 months ago
The Tate Pairing Via Elliptic Nets
We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
Katherine E. Stange
IEICET
2008
147views more  IEICET 2008»
13 years 5 months ago
Computing the Ate Pairing on Elliptic Curves with Embedding Degree k = 9
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
Xibin Lin, Changan Zhao, Fangguo Zhang, Yanming Wa...