面向云计算的混合同态加密算法研究

摘要

Aiming at the improvement of data security and retrieval efficiency in cloud server,according to the principle of fully homomorphic encryption,Hybrid Homomorphic Encryption Algorithm (BressonRSA Homomorphic Encryption Algorithm) is proposed in this paper based on RSA and Bresson algorithm.On the basis of ensuring the security of data transmission and storage,proposed algorithm can achieve statistics and calculations of ciphertext in cloud server end,which is equivalent to the same operations on plaintext.Finally through the simulation experiment in Hadoop under the condition of ideal experimental parameters,the implementation of the algorithm is verified and analyzed.%针对改进云计算中服务器端数据的安全性和计算效率,结合全同态加密体制原理,根据云计算的特点提出了一种基于单同态的RSA和Bresson算法的混合全同态算法.该算法在保证数据传输存储安全的基础上,能够实现在云服务器端对密文数据进行统计和计算,其结果等价于明文操作.最后通过搭建Hadoop集群模拟云环境进行仿真实验,实现了加密解密过程以及在云服务器端进行“不解密”的全同态多项式计算.证明了该算法在限定理想实验参数的基础上,对比文中分析的全同态加密方案在效率、计算量级和密钥生成时间等方面具有一定优势并且易于实现.