基于DDH假设和d-线性假设的平滑投影散列  

Smooth Projective Hashing from DDH Asumption and d-linear Assumption

作　　者：翟嘉祺 刘健[2] 陈鲁生[1] Zhai Jiaqi;Liu Jian;Chen Lusheng(School of Mathematical Sciences,Nankai Unwersity,Tianjin 300071,China;School of Cybersecurity,College of Intelligence and Computing,Tianjin University,Tianjin 300350,China)

机构地区：[1]南开大学数学科学学院,天津300071 [2]天津大学智能与计算学部网络安全学院,天津300350

出　　处：《南开大学学报（自然科学版）》2020年第1期30-40,共11页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by National Key Basic Research Program of China under Grand(2013CB834204);National Natural Science Foundation of China under Grand(61902276)。

摘　　要：给出了两个新的平滑投影散列的构造,这两个平滑投影散列输入语言是由两个基于有损陷门函数的CCA2安全公钥加密体制定义的,其中一个有损陷门函数是基于DDH假设构造的,另一个是基于d-线性假设构造的.Two new constructions of smooth projective hashing are presented over the languages defined by CCA2 secure public-key encryption schemes based on lossy trapdoor functions. One lossy trapdoor function is based on DDH assumption and the other is based on d-linear assumption.

关 键 词：平滑投影散列 有损陷门函数 CCA2安全 

分 类 号：TN918.1[电子电信—通信与信息系统]