It is based on the protocol of Burmester and Desmedt and is provably-secure in the random-oracle and ideal-cipher models.
最后，在随机预言模型和理想密码模型中证明了协议的安全性。
To design a signature scheme which are efficient and provably secure in the standard model is suitable for applications.
在标准模型下设计高效可证明安全的签名方案具有现实意义。
The scheme is provably secure in the random oracle model, and is an efficient scheme. It only needs one pairing operation.
该方案在随机预言模型下是可证明安全的，而且也是高效的方案，只需要一个对运算。
Then, we propose a provably secure and ID-Based group signature scheme.
接着提出了一个基于身份的可证明安全的群签名方案。
Under the assumption that the random high-density knapsack problem is infeasible, the proposed schemes are provably secure against ciphertext-only attack.
在高密度随机背包困难性假设下，可以证明方案在唯密文攻击下是安全的。
The performance analysis results show that the scheme is provably secure in the random oracle model under the CDH problem assumption.
安全性分析表明，在假设CDH问题是难解的情况下，该方案在随机预言模型中是可证安全的。
A certificateless signature scheme provably secure in the standard model is analyzed. It points out that the scheme is insecure.
通过对一个标准模型下可证安全的无证书签名方案进行分析，指出该方案是不安全的。
In the random oracle model, the scheme is provably secure against adaptive chosen ciphertext attacks.
在随机预言模型下，该方案在适应性选择密文攻击下是可证明安全的。
In the random oracle model, the scheme is provably secure against adaptive chosen ciphertext attacks.
在随机预言模型下，该方案在适应性选择密文攻击下是可证明安全的。
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