F_q上两类可用于密码体制的椭圆曲线

TWO KINDS OF ELLIPTIC CURVES OVER F USED TO SET UP CRYPTOSYSTEMS

椭圆曲线密码体制是密码学发展中的最新成果.文[3,4]解决了存在于文[2]中的缺陷,提出了两类F_(?)上椭圆曲线,它可用来构造密码体制.本文将文[3,4]的结果推广到F_(?)上,提出了F_q上两类可用来构造密码体制的椭圆曲线.

It is a new development in cryptograph to cstal lish cryptosystems using elliptic curves. Faults in [2] have been vercome in [3,4]. In those papers, the authors pointed out two kinds of elliptic curver over F, which can be used to set up cryptosystems. This paper improves the results in [3,4]. Two kinds of elliptic curves over E, have been proposed which can be used to set up cryptosystems.