摘要
本文首先构造了一种支持多比特加密的全同态加密方案(以下简称MBGSW),该方案以李增鹏等人提出的一种支持多比特加密安全性基于DLWE的全同态加密体制为基础,通过修改其加密算法使之成为无CRS模型多比特全同态加密方案.然后运用LinkAlgo算法将单密钥密文扩展成多密钥密文,从而实现多密钥全同态加密(multi-key fully homomorphic encryption,MFHE)方案.多密钥全同态加密允许在不同密钥下加密的密文之间进行同态操作,最终实现多比特多密钥全同态加密(MMFHE)方案.
This study first constructs a fully homomorphic encryption scheme which supports multibit encryption(hereinafter referred to as MBGSW).The scheme is based on the full homomorphic encryption based on DLWE which supports multi-bit encryption proposed by Li Zengpeng et al.,and the encryption algorithm is modified to make it become multi-bit fully homomorphic encryption without using the CRS model.Then,the single secret key ciphertext is extended to multi-key ciphertext by using the LinkAlgo algorithm,so as to realize the multi-key fully homomorphic encryption(MFHE).The multi-key fully homomorphic encryption(MFHE)allows the homomorphic operation between ciphertext encrypted under different keys,and finally realizes multi-bit multi-key fully homomorphic encryption.
作者
李习习
唐春明
胡业周
LI Xi-Xi;TANG Chun-Ming;HU Ye-Zhou(School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China)
出处
《密码学报》
CSCD
2022年第2期248-256,共9页
Journal of Cryptologic Research
基金
国家自然科学基金(61772147)
广州大学全日制研究生基础创新项目(2020GDJC-M32)。
关键词
多比特加密
多密钥加密
全同态加密
DLWE
multi-bit encryption
multi-key encryption
fully homomorphic encryption
DLWE
