内积函数加密技术研究与进展  

A survey on inner product functional encryption

作　　者：栗亚敏 李进[2] 陈晓峰 LI Ya-min;LI Jin;CHEN Xiao-feng(School of Cyber Engineering,Xidian University,Xi an 710071,China;School of Computer Science and Cyber Engineering,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]西安电子科技大学网络与信息安全学院,陕西西安710071 [2]广州大学计算机科学与网络工程学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2023年第4期42-55,共14页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61960206014)。

摘　　要：内积函数加密技术由Abdalla等在2015年引入,它允许解密者使用某个向量对应的密钥去解密另一个向量对应的密文,从而得到这两个向量的内积,但又不泄露密文所对应向量的任何其他信息。该技术可以在保证数据机密性的同时,保留对数据的内积计算能力。因此,在涉及内积计算的场景中,相比于传统的加密技术,内积函数加密技术提供了更加灵活的访问控制。内积函数加密技术在统计分析、外包计算、机器学习等场景中有着实际的应用价值。目前,内积函数加密技术的研究仍处于理论研究阶段,主要表现在大部分方案限制所支持的明文空间大小,方案所能达到的安全性较弱,或是方案本身难以实现。文章给出了内积函数加密技术的研究与进展,分别介绍了不同类型内积函数加密技术的形式化定义和安全性模型,系统地介绍了公钥内积函数加密和私钥内积函数加密的研究进展,阐述了内积函数加密的应用研究和相似工作,并对关键的研究工作和技术进行了总结和展望。Inner product functional encryption was introduced in 2015 by Abdalla et al.It allows the decryptor,having the key corresponding to a vector,to decrypt the ciphertext corresponding to another vector and obtain the inner product of these two vectors without revealing any other information of the vector in the ciphertext.In this way,the data confidentiality can be guaranteed while the inner product calculation ability of the data is preserved.Therefore,in the scenario involving inner product,inner product functional encryption provides more flexible access control than traditional encryption.Inner product functional encryption technology has practical application value in statistical analysis,outsourcing computing,machine learning,and other scenarios.At present,the research on inner product functional encryption is still at the theoretical stage,which is mainly manifested in that most of the schemes limit the size of the supported plaintext space,the security that the scheme can achieve is weak,or the scheme itself is difficult to achieve.This paper gives a survey on inner product functional encryption.First,the formal definitions and security models of different types of inner product functional encryption schemes are introduced.Then the research progress of public-key inner product functional encryption and private-key inner product functional encryption are systematically discussed.The applications and other similar works of inner product functional encryption are described.Finally,the key research works and technologies of inner product functional encryption are summarized with some prospects.

关 键 词：内积函数加密 访问控制 函数隐藏性 多客户端函数加密 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]