椭圆曲线密码体制 有着安全性高、密钥长度短和带宽要求低等优势， 而且利用椭圆曲线离散对数问题（ECDIP）可以同 时构造三种基本形式的公钥体制，即公钥加密机 制，密钥交换协议和数字签名方案等。
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它们的安全性都是基于椭圆曲线离散对数问题。
All of their security is based on elliptic curve discrete logarithm problem.
两种方案的安全性都是基于椭圆曲线离散对数问题的难解性。
Both of their security are based on the intractability of elliptic curve discrete logarithm problem.
新协议的安全性基于椭圆曲线离散对数问题，服务器并不需要完全可信。
The security of the new protocol was based on the discrete logarithm on elliptic curve, and the server did not need to be completely trusted.
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