一个高效安全的空间加密方案

An Efficient and Secure Spatial Encryption Scheme

将空间向量对应于合数群上的元素,基于三素数子群判定问题,利用双系统技术构造了一个在自适应的模型下更加有效、安全的空间加密方案.结果表明,由于不需要进行大量的矩阵运算,所提出的加密方案具有较高的效率和良好的性能.

Spatial encryption was first introduced as an instance of generalized identity-based encryption by Boneh and Hamburg in 2008. Their scheme is only secure in selective model. This paper constructed a full secure and more efficient spatial encryption scheme which differs from Boneh and Hamburg＇s scheme. The paper introduces a technique to map a vectors to elements of groups. Then it applies the dual system technique. With this technique and the three composite order bilinear groups decision problem, it can prove full security of the scheme in adaptive model. Because of only computing in composite groups without matrix, the efficiency of the scheme is much improved.