35 search results - page 1 / 7 » On the Construction of Prime Order Elliptic Curves |
INDOCRYPT
2003
Springer
14 years 4 months ago
2003
Springer
We consider a variant of the Complex Multiplication (CM) method for constructing elliptic curves (ECs) of prime order with additional security properties. Our variant uses Weber po...
SACRYPT
2005
Springer
14 years 4 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...
JOC
2010
13 years 5 months ago
2010
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 ...
PAIRING
2007
Springer
14 years 5 months ago
2007
Springer
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
ICISC
2004
14 years 11 days 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 ...