For the purpose that constructing the fast and secure cryptosystem, this paper analyzed some correlation problem of using elliptic curve to construct cryptosystem and the speed is very slow.

• 从构建快速、安全的密码体制的思想出发，文中分析了利用椭圆曲线构建密码体制和影响椭圆曲线密码体制执行速度的相关问题。