Title :
Elliptic curve parameters generation
Author :
Karpynskyy, Mykola ; Vasyltsov, Ihor ; Yakymenko, Ihor ; Honcharyk, Andrij
Author_Institution :
Dept. of Autom. & Electrotech., Belsky-Bjaly Univ., Poland
Abstract :
In this paper a method of elliptic curves (EC) parameters generating has been considered. The proposed method is based on the usage of Jacobi symbol and square remains. On the base of this method algorithms as well as software, which allow to effectively generate the EC coefficient have been developed. In the paper, the results of EC parameters generating have been presented.
Keywords :
IEEE standards; public key cryptography; IEEE standards; Jacobi symbol; elliptic curve coefficient; elliptic curve parameters generation; public key cryptography; square remains; ANSI standards; Elliptic curve cryptography; Elliptic curves; Government; Internet; Jacobian matrices; Performance analysis; Protection; Public key cryptography; Software algorithms;
Conference_Titel :
Modern Problems of Radio Engineering, Telecommunications and Computer Science, 2004. Proceedings of the International Conference
Conference_Location :
Lviv-Slavsko, Ukraine
Print_ISBN :
966-553-380-0
