摘要
基于身份的公钥密码体制(IBE)与传统的公钥密码体制不同,在IBE中用户公钥是与用户身份相关的可识别的一串字符,这就为加密后的数据提供了更灵活的访问控制。BGN是2005年提出的一种类同态加密方案,该方案能对密文进行任意次加法和一次乘法运算,但是并不是一种IBE方案。为得到类同态的IBE方案,以满足网络中对身份类加密体制的需求,在BGN方案的基础上,基于二次剩余假设和子群判定问题构造了一种新的具有类同态性质的IBSHE加密方案,在随机预言机模型下证明了该方案的CPA安全性。
Since the identity-based public key encryption(IBE) is different from traditional public key encryption, the public key in IBE is a string of characters which is related to the identity of the user, thus it provides the encrypteddata with a more flexible access control. BGN is a homomorphic encryption scheme proposed in 2005, which is able to do arbitrary additions and one multiplication to the encrypted message, but it is not an IBE scheme still. On the basis of the BGN scheme, a new homomorphic IBSHE scheme based on quadratic residue and subgroup decisional problemis constructedto obtain a homomorphic IBE scheme which satisfies the demand of identity-based encryptionscheme in network. Also, the CPA security of the scheme is proved by random oracle model.
出处
《计算机应用与软件》
CSCD
2016年第9期310-312,319,共4页
Computer Applications and Software
基金
国家自然科学基金项目(61272492
61103230)
关键词
同态加密
基于身份的加密
双线性映射
二次剩余问题
子群判定问题
Homomorphic encryption Identity-based encryption Bilinear map Quadratic residue problem Subgroup decisional problem