基于身份的同态加密

Identity-based homomorphic encryption scheme

目的提出一种格上的基于身份的同态加密方案。方法利用格上的LWE(learning with error)难题将身份信息加入参数的设置,选取加密所用的密钥,以LWE加密算法,身份加密算法以及同态加法的要求为基础。结果利用该密钥加密的输出结果满足同态加法,证明了方案的正确性和在适应性选择身份和选择明文攻击下(IND-ID-CPA)的安全性。结论方案可以抵抗量子计算的攻击,密钥短,便于密钥的管理,可以直接对加密信息进行处理。

Objective--To propose a homomorphic encryption scheme based on Identity. Metnoas-- The LWE difficult problem on lattice add the identity information to the parameter settings when se- lect. Results--The outputs meet homomorphic addition prove the correctness and security of the scheme under IND-ID-CPA. Conclusion--The scheme can resist the attacks from quantum computing, and the keys are shorter. It is easy to manage the keys and can without.