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- ECC is set up on the basis of solving this mathematics difficult problem of the Elliptic Curve Discrete Logarithm Problem (ECDLP). 椭圆曲线密码体制(ECC)建立在解椭圆曲线离散对数问题(ECDLP)这一数学难题的基础上。
- So far, the Elliptic Curve Cryptosystem (ECC) provides the highest strength per bit of any cryptosystem known. 椭圆曲线密码体制(Elliptic Curve Cryptosystem)是迄今为止每比特具有最高安全强度的密码体制。
- The elliptic curve cryptosystem( ECC) is one of the main stream public key cryptosystems. 椭圆曲线密码系统是现在主流的公钥密码系统之一。
- The elliptic curve cryptosystem has features of safeness,high speed in encryption and taking smaller space. 椭圆曲线加密体制加密强度大,速度快,占用的处理单元和带宽较小。
- The security of the system was improved by adopting the elliptic curve zero knowledge proof in the payment protocol. 在支付协议中采用并行的椭圆曲线零知识证明，提高了系统的安全性。
- So far,the Elliptic Curve Cryptosystem(ECC) provides the highest strength-per-bit of any cryptosystem known. 它是迄今为止每比特具有最高安全强度的密码系统。
- This is all pretty elementary, and doesn't even refer to the group law on the elliptic curve. 这两个命题都是初级的，甚至连椭圆曲线的群定律都不用。
- Sometimes, the elliptic curve problem is also included into the discrete logarithm problem. 有时也把椭圆曲线类归为离散对数类.
- Elliptic curve digital signature is the elliptic curveanalogue of the digital signature based on multiplicative group's discrete logrithm. 椭圆曲线数字签名是基于乘法群的离散对数数字签名在椭圆曲线上的模拟。
- Actually, Elliptic Curve Digital Signature is a simulation of the digital signature on the elliptic curveunder this cryptosystem. 椭圆曲线数字签名实际上是数字签名在这种密码体制下椭圆曲线上的模拟。
- At present, the Elliptic Curve Cryptography has the most secure private key when compared with other Public-Key Cryptography systems. 椭圆曲线密码体制是目前公钥密码体制中在密钥大小相当的情况下安全强度最高的一种密码体制。
- However, the elliptic curve cryptosystem (ECC thereafter) is widely concerned due to the highest security of the same lengthbit. 而基于椭圆曲线离散对数问题的椭圆曲线密码体制,因其每比特最高的安全性,受到越来越广泛的注意。
- Its security depends not only on the elliptic curve discrete logarithms but also on the choice of the elliptic curve and its system. 其安全性不仅依赖于椭圆曲线离散对数的分解难度，而且依赖于椭圆曲线的选取和椭圆曲线密码体制。
- Based on the elliptic curve cryptosystem, this paper proposes an authenticated encryption scheme with message recovery and message linkage recovery. 分别提出了基于椭圆曲线的具有消息恢复和消息链接恢复的认证加密方案。
- The elliptic curve cryptosystem is a cryptosystem with high safety in digital signature that based on public key cryptosystem. 椭圆曲线密码体制是通用公钥密码体制签名中安全性很好的公钥密码体制。
- The security of the scheme is set up on the intricate nature of the elliptic curve discrete logarithm problem and the knapsack problem. 方案的安全性建立在椭圆曲线离散对数问题和变形的背包问题的难解性上。
- The security of the scheme is based on the disperse logarithm of the elliptic curve, so the scheme can improve the security of the keys greatly. 方案可灵活地增删参与者，且安全性是基于椭圆曲线离散对数问题的难解性，因而其安全性比在有限域上更高；
- The computational intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP) over a finite field enhances security of the scheme. 利用有限域上椭圆曲线点群中的离散对数问题的难解性来增强协议的安全性。
- The Elliptic Curve Cryptosystems (ECC) was proposed by Neal Koblitz and Victor Millerin 1985. It has been studied for more than ten years and has beenwidely put into practicaluse. Neal Koblitz和Victor Miller在80年代中期提出了椭圆曲线密码体制(ECC)，经过了10多年的研究，近几年已经被广泛应用于实际中。
- The elliptic curve discrete logarithm of non singular elliptic curve over finite field has no efficient attack up to now, which made it cannot be widely applied in cryptography. 摘要目前，在有限域上非奇异椭圆曲线离散对数问题还没有有效的攻击方法，使其在加密技术中得到了广泛应用。
