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中文摘要：
解密参加者为解密的私人关键份额被关键产生中心在阀值 IBE 计划托付。然而，绝对可靠的一个关键产生中心不存在。作者因此介绍一个无证书的阀值公钥加密计划。与一个主管，一起协作解密参加者在计划为解密产生他的整个私人关键股票。主管不知道解密参加者为解密的私人关键份额。使用 q 同步数字系列假设，作者构造一个无证书的阀值公钥加密计划。计划的安全最后被归结为解决 Decisional 双线性的 Diffie-Hellman 问题。而且，计划在在标准模型的选择密文攻击下面是安全的。
英文摘要：
The decryption participant＇s private key share for decryption is delegated by key generation center in the threshold IBE scheme.However,a key generation center which is absolutely trustworthy does not exist.So the author presents a certificateless threshold public key encryption scheme.Collaborating with an administrator,the decryption participant generates his whole private key share for decryption in the scheme.The administrator does not know the decryption participant＇s private key share for decryption.Making use of q-SDH assumption,the author constructs a certificateless threshold public key encryption scheme.The security of the scheme is eventually reduced to the solving of Decisional Bilinear Diffie-Hellman problem.Moreover,the scheme is secure under the chosen ciphertext attack in the standard model.
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