It is proved that the proposed scheme is secure under the BDH assumption and the random oracle model.
证明了在BDH问题假设和随机预言机下新方案是安全的。
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。
It is proven to be existential unforgeable against chosen message attack under the random oracle model.
在随机预言模型下，可证明该方案在适应性选择消息攻击下是存在不可伪造的。
The security of the scheme is based on the difficulty of integers factorization without the random oracle model.
作为短签名时，签名是一次性的，该方案的安全性证明不需要随机预言机模型。
The scheme is secure under the assumption of the intractability of logarithm problems and the random oracle model.
该方案在离散对数问题和随机预言模型假设下是安全的。
The security of the signature schemes whose signatures have specific form is discussed in the random oracle model.
在随机问答器模型下讨论了签名具有某种特定形式的签名体制的安全性。
Then, we present an examples of proxy signature scheme that can be proven secure in the random oracle model respectively.
然后用该模型分析了一个具体的代理签名体制的例子，证明了这个代理签名方案在随机预言模型下是可证安全的。
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。
Compared with the protocol in the random oracle model, the protocol has the same computational and communication efficiencies.
与随机预言模型中的协议相比，在计算和通信效率方面相当。
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。
The security of the new scheme was analyzed with the random oracle model. The results show that the new scheme satisfies the unforgeability and the partial blindness.
采用随机预言机模型，分析了新方案的安全性，结果表明，新方案满足不可伪造性和部分盲性。
It is proved that the given protocol is a zero-knowledge interactive proof in the random oracle model, and it is shown that the scheme is more secure than the scheme of J.
证明了在随机预言模型中给出的协议是零知识交互证明，并显示出通过参数的适当选取，此方案比j。
On the other hand, the solution retains the tree structure. At the last, we give a security analysis based on the random oracle security model.
最后，在随机预言机模型下给出了协议的安全性分析。
On the other hand, the solution retains the tree structure. At the last, we give a security analysis based on the random oracle security model.
最后，在随机预言机模型下给出了协议的安全性分析。
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