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Provably secure threshold public-key encryption with adaptive security and short ciphertexts

机译:具有自适应安全性和短密文的可证明的安全阈值公钥加密

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摘要

Threshold public-key encryption is a cryptographic primitive allowing decryption control in group-oriented encryption applications. Existing TPKE schemes suffer from long ciphertexts with size linear in the number of authorized users or can only achieve non-adaptive security, which is too weak to capture the capacity of the attackers in the real world. In this paper, we propose an efficient TPKE scheme with constant-size ciphertexts and adaptive security. Security is proven under the decision Bilinear Diffie-Hellman Exponentiation assumption in the standard model. Then we extend our basic construction with efficient trade-offs between the key size and the ciphertext size. Finally, we illustrate improvements to transmit multiple secret session keys in one session with almost no extra cost.
机译:阈值公共密钥加密是一种加密原语,允许在面向组的加密应用程序中进行解密控制。现有的TPKE方案的密码密文长,授权用户的数量呈线性,或者只能实现非自适应安全性,这种安全性太弱,无法捕获攻击者在现实世界中的能力。在本文中,我们提出了一种具有恒定大小密文和自适应安全性的有效TPKE方案。在标准模型中的决策“双线性Diffie-Hellman指数”假设下证明了安全性。然后,我们通过在密钥大小和密文大小之间进行有效的权衡来扩展我们的基本结构。最后,我们说明了在一个会话中传输多个秘密会话密钥而几乎没有额外费用的改进方法。

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