Public-Key Function-Private Inner-Product Predicate Encryption from Pairings  

基于配对的公钥函数隐藏内积谓词加密

作　　者：WAN Ming WANG Geng GU Da-Wu 万明;王更;谷大武(上海交通大学电子信息与电气工程学院,上海200240)

机构地区：[1]School of Electronic Information and Electrical Engineering,Shanghai Jiao Tong University,Shanghai 20040,China

出　　处：《密码学报(中英文)》2025年第1期227-246,共20页Journal of Cryptologic Research

基　　金：National Key Research and Development Program of China(2021YFB3101402);National Natural Science Foundation of China(62202294)。

摘　　要：This study constructs a function-private inner-product predicate encryption(FP-IPPE)and achieves standard enhanced function privacy.The enhanced function privacy guarantees that a predicate secret key skf reveals nothing about the predicate f,as long as f is drawn from an evasive distribution with sufficient entropy.The proposed scheme extends the group-based public-key function-private predicate encryption(FP-PE)for“small superset predicates”proposed by Bartusek et al.(Asiacrypt 19),to the setting of inner-product predicates.This is the first construction of public-key FP-PE with enhanced function privacy security beyond the equality predicates,which is previously proposed by Boneh et al.(CRYPTO 13).The proposed construction relies on bilinear groups,and the security is proved in the generic bilinear group model.本文设计了第一个达到标准增强函数隐藏性的公钥内积谓词加密方案(FP-IPPE).标准增强函数隐藏性保证了,只要谓词f来自具有足够熵的规避分布,谓词解密密钥skf就不会泄露任何关于f的信息.本文将Bartusek等人(Asiacrypt 19)针对“小超集谓词”,基于配对所提出的公钥弱函数隐藏谓词加密(FP-PE)扩展到了支持内积谓词的形式.这是自Boneh等人(Crypto 13)针对等值检查谓词所提出的标准增强函数隐藏公钥谓词加密方案以来,首次突破支持等值检查谓词以外的方案.本文的公钥内积谓词加密方案基于双线性群,并且在双线性映射的通用群模型下是安全的.

关 键 词：predicate encryption function privacy inner product generic group model 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]