An Ideal Lattice Based IBE Scheme in the Standard Model  

作　　者：YANG Xiaoyuan WU Liqiang ZHANG Minqing WEI Ping WEI Lixian 

机构地区：[1]The Institute of Information Security, Engineering Collegeof Chinese Armed Police Force, Xi an 710086, Shaanxi, China [2]Key Laboratory of Network & Information Security,Engineering College of Chinese Armed Police Force, Xi'an710086, Shaanxi, China

出　　处：《Wuhan University Journal of Natural Sciences》2011年第5期439-446,共8页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (60573036);Funding Research Project of the Engineering College of Chinese Armed Police Force(wjy201023)

摘　　要：Under the standard model, an IND-slD-CPA secure IBE （Identity Based Encryption） scheme is proposed, which is based on an improved trapdoor generation function over ring and decisional R-LWE （ring-learning with errors） assumption, thus the hardness of recovering system master key can be reduced to solve the Ideal-SIS （small integer solution） problem, and the attack to the ciphertext is equivalent to solving the SVP （the shortest vector problem） in the worst case on ideal lattice to within a fixed poly（n） factor. Moreover, the proposed scheme has advantages of high encrypfion and decryption speed and low encryption blowup factor compared with all known IBE scheme from the standard lattice under the standard model.Under the standard model, an IND-slD-CPA secure IBE （Identity Based Encryption） scheme is proposed, which is based on an improved trapdoor generation function over ring and decisional R-LWE （ring-learning with errors） assumption, thus the hardness of recovering system master key can be reduced to solve the Ideal-SIS （small integer solution） problem, and the attack to the ciphertext is equivalent to solving the SVP （the shortest vector problem） in the worst case on ideal lattice to within a fixed poly（n） factor. Moreover, the proposed scheme has advantages of high encrypfion and decryption speed and low encryption blowup factor compared with all known IBE scheme from the standard lattice under the standard model.

关 键 词：IBE provable security ideal lattice R-LWE 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]