Title :
The Research of Generating Secure Elliptic Curve over GF(p)
Author :
Hou Ai-qin ; Gao Bao-jian ; Wang Jun
Author_Institution :
Sch. of Inf. Sci. & Technol., Northwest Univ., Xi´an, China
Abstract :
Generating a secure elliptic curve is complicated and there are only a few algorithms for some special elliptic curves at present. In this paper an algorithm of generating an elliptic curve over prime field GF (p) with a prime number order is discussed. Another algorithm of generating an elliptic curve with an order which equals to the product of two prime numbers is proposed.
Keywords :
public key cryptography; random functions; prime field GF; prime number order; secure elliptic curve generation; Elliptic curves; Equations; Information science; Lagrangian functions; Mathematics; Random number generation;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.1270
