同态加密的发展及应用

[摘要] 认为密码学中的同态加密技术可以为分布式计算环境的用户隐私保护提供强有力的技术支撑。同态加密方案被分成3种类型：部分同态加密、浅同态加密和全同态加密。同态加密方案在分布式计算环境下的密文数据计算方面有着重要的应用，包括：安全云计算与委托计算、远程文件存储、密文检索等。指出目前全同态加密方案的构造还处于理论阶段，尚不能用于实际的密态数据计算问题，如何设计基于代数系统的（自然）全同态加密方案依然是未来研究的重点。

[关键词] 同态加密；密态计算；安全多方计算；安全云计算；分布式计算

[Abstract] Homomorphic encryption has been widely used to provide data security and privacy for users in a distributed computing environment. There are three types of homomorphic encryption schemes: part homomorphism, somewhat homomorphism and fully homomorphism. Homomorphic encryption schemes have many important applications in computing based on ciphertext, including secure cloud computing and outsourcing, remote file storage, and search on encrypted data. The constructions of the fully homomorphic encryption scheme is still in the theoretical stage and can not be used for actual data calculation. How to develop the nature-fully homomorphic encryption schemes based on algebra is still the focus in the future research.

[Keywords] homomorphic encryption; privacy computing; secure multi-party computing; secure cloud computing; distributed computing