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- W2384653643 abstract "Elliptic curve cryptography is a very efficient basic technology for public key infrastructures,but there is a paucity of efficient means for generating suitable elliptic curves.This paper presents a method for generating elliptic curves of known order over finite fields.It is well known that if the prime p=6k+1,k∈Z,this prime can be factored into W~2+4V~2,W,V∈Z.Based on this,the paper proved that the order of the elliptic curve E:y~2=x_2+1 over finite fields F_p with j-invarant being 1728 is p+1±2W(when W=4L+1,L∈Z,#E(F_p)=p+1+2W;when W=4L-1,L E Z,#E(Fe)=p+1-2W).Furthermore,the constructing method of elliptic curves is propsed." @default.
- W2384653643 created "2016-06-24" @default.
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- W2384653643 date "2006-01-01" @default.
- W2384653643 modified "2023-09-25" @default.
- W2384653643 title "A Method of Generating Secure Elliptic Curves" @default.
- W2384653643 hasPublicationYear "2006" @default.
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