We introduce a cryptographic primitive named threshold trapdoor functions (TTDFs), from which we give generic constructions of threshold and revocation encryptions under adaptive corruption model. Then, we show TTDF can be instantiated under the decisional Diffie-Hellman (DDH) assumption and the learning with errors (LWE) assumption. By combining the instantiations of TTDF with the generic constructions, we obtain threshold and revocation encryptions which compare favorably over existing schemes. The experimental results show that our proposed schemes are practical.

中文翻译：

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门槛活板门功能及其应用

我们介绍了一种称为阈值陷门功能（TTDF）的加密原语，从中我们给出了在自适应损坏模型下阈值和吊销加密的一般构造。然后，我们表明可以在决策Diffie-Hellman（DDH）假设和带错误学习（LWE）假设的情况下实例化TTDF。通过将TTDF的实例与通用构造相结合，我们获得了阈值和吊销加密，与现有方案相比具有优势。实验结果表明，本文提出的方案是可行的。