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.
协议的安全性是建立在目前尚未存在有效攻击方法的有限域上非超奇异椭圆曲线的椭圆曲线离散对数问题之上的。
The safety of this protocol is based on the elliptic curve discrete logarithm of non-supersingular elliptic curve over finite field, on which there has been no efficient attack method up to now.
该文描述了代数几何与ecc的数学基础及椭圆曲线离散对数问题困难性，讨论了ECC在电子商务中的安全应用。
This paper describes the mathematics base of algebraic geometry and ECC. It also discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce.
基于椭圆曲线离散对数问题，纪家慧和李大兴提出了一个代理签名方案和一个代理多签名方案，陈泽雄等人给出了另外两个代理多签名方案。
Based on the elliptic curve discrete logarithm problem, Ji and Li proposed a proxy signature scheme and a proxy multi-signature scheme and Chen et al. proposed two proxy multi-signature schemes.
超椭圆曲线密码体制是以超椭圆曲线离散对数问题的难解性为基础的，具有安全性高、操作数短等优点，相对于其他密码体制有明显的优势。
The hyperelliptic curve cryptosystem is based on the hyperelliptic curve discrete logarithm problem, and has the higher safety and the shorter operands compared to other cryptosystems.
超椭圆曲线密码体制是以超椭圆曲线离散对数问题的难解性为基础的，具有安全性高、操作数短等优点，相对于其他密码体制有明显的优势。
The hyperelliptic curve cryptosystem is based on the hyperelliptic curve discrete logarithm problem, and has the higher safety and the shorter operands compared to other cryptosystems.
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