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...
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 ...
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 ...
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...
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...