35 search results - page 1 / 7 » On the Construction of Prime Order Elliptic Curves |
INDOCRYPT
2003
Springer
13 years 9 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
13 years 10 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
12 years 11 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
13 years 10 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
13 years 6 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 ...