因此倍点运算的快速计算是椭圆曲线密码快速实现的关键。
Therefore, the key of the efficient executing elliptic curve cryptogram is the efficient computing of multiple point.
椭圆曲线密码体制中，最耗时的运算是倍点运算也就是椭圆曲线上的点与一个整数的乘法运算。
The operation consume most time is multiplication of a point on the elliptic curve with an integer in the system, which was called multiple point operation.
由于椭圆曲线密码系统的执行主要是计算倍点，因此椭圆曲线密码系统所消耗的时间主要是倍点运算所消耗掉的时间。
Since the system mainly depends on multiple point operation, so the cost of executing the system depends mostly on the cost of the multiple points operation.
由于椭圆曲线密码系统的执行主要是计算倍点，因此椭圆曲线密码系统所消耗的时间主要是倍点运算所消耗掉的时间。
Since the system mainly depends on multiple point operation, so the cost of executing the system depends mostly on the cost of the multiple points operation.
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