Abstract
The elliptic curves over a finite field with q elements are constructed. Let l be a prime, it is proved in this paper that if the equation U2-D(x)V2=e(x-a)l defined over GF(q)[x] has a primitive solution over GF(q)[x], where D(x)∈GF(q)[x] is a monic squarefree degree three polynomial, then the elliptic curve y2=D(x) has a point (a,b) with order l. This result provides an algorithm on constructing elliptic curves with a point of the prescribed order.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
