The Paillier's Cryptosystem and Some Variants Revisited

The Paillier's Cryptosystem and Some Variants Revisited
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重新审视 Paillier 的密码系统和一些变体

DOI:
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发表时间:
2015-11
期刊:
International Journal of Network Security
影响因子:
--
通讯作者:
Liu Lihua
Liu Lihua
中科院分区:
其他
文献类型:
--
作者:
Cao Zhengjun;Liu Lihua

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在欧洲密码会议上,Paillier提出了一种基于一个新的计算问题的公钥密码体制。它引起了许多研究人员的兴趣,因为它是加性同态的。在本文中,我们证明了原始的Paillier加密方案与一些变种方案有很大的不同。Paillier的加密可以自然地转换为签名方案,但这些变体缺少这一功能。特别地,我们简化了ASIACRYPT‘03中提出的Bresson-Catalano-Pointchval加密方案的替代解密过程。新版本更适用于云计算,因为它的双陷门解密机制,以及它可以灵活地集成到其他加密方案中。它具有两组密钥可以分配给不同用户的新特性,从而增强了密钥管理的健壮性。
At Eurocrypt'99, Paillier presented a public-key cryptosystem based on a novel computational problem. It has interested many researchers because it was additively homomorphic. In this paper, we show that there is a big difference between the original Paillier's encryption and some variants. The Paillier's encryption can be naturally transformed into a signature scheme but these variants miss the feature. In particular, we simplify the alternative decryption procedure of Bresson-Catalano-Pointcheval encryption scheme proposed at Asiacrypt'03. The new version is more applicable to cloud computing because of its double trapdoor decryption mechanism and its flexibility to be integrated into other cryptographic schemes. It captures a new feature that its two groups of secret keys can be distributed to different users so as to enhance the robustness of key management.
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