%0 Journal Article %A MA Chun-guang %A WANG Jiu-ru %A ZHANG Wen-yin %A LI Zeng-peng %T A Threshold Public Key Encryption via Dual Regev Scheme %D %R 10.13190/j.jbupt.2019-239 %J Journal of Beijing University of Posts and Telecommunications %P 83-87 %V 43 %N 4 %X Aiming at the problem that Regev scheme cannot effectively resist key recovery attack, a threshold public key encryption scheme is proposed based on Gentry-Peikert-Vaikuntanathan (GPV) scheme. The scheme is mainly composed of a distributed key generation protocol and an effective non-interactive decryption protocol. It combines Shamir's secret sharing algorithm and Lagrangian algorithm, which make it resistant to static and passive adversary buying attacks. The correctness of the proposed scheme is proved through theoretical analysis. Moreover, under the universal composable framework, the security is verified. %U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2019-239