12 search results - page 2 / 3 » Choosing the correct elliptic curve in the CM method |
IEICET
2008
13 years 6 months ago
2008
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...
ICISC
2004
13 years 7 months ago
2004
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
SACRYPT
2005
Springer
13 years 11 months ago
2005
Springer
Previously known techniques to construct pairing-friendly curves of prime or near-prime order are restricted to embedding degree k 6. More general methods produce curves over Fp wh...
BMVC
2001
13 years 8 months ago
2001
The ability to construct CAD or other object models from edge and range data has a fundamental meaning in building a recognition and positioning system. While the problem of model...
WAIFI
2010
Springer
13 years 11 months ago
2010
Springer
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...