Xiuhua Lu received her BS in mathematics and applied mathematics from Shandong Normal University, China in 2002 and received her MS in applied mathematics from Captical Normal University, China in 2005. Her research interests include public key cryptography, lattice cryptography, and provable security. She is currently a PhD candidate in Beijing University of Posts and Telecommunica- tions and a lecturer in Langfang Teachers University.E-mail: luxiuhua2014@sina.cn Qiaoyan Wen received her BS and MS in mathematics from Shanxi Normal University, China in 1981 and 1984, respectively, and received her PhD in cryptography from Xidian University, China in 1997. Her present research interests include coding theory, cryptography, information security, Internet security, and applied mathematics. She is a professor in Beijing University of Posts and Telecommunications. Zhengping Jin received his BS in mathematics and applied mathematics and his MS in applied mathe- matics from Anhui China in 2004 and Normal University 2007, respectively and received his PhD in cryptography from Beijing University of Posts and Telecommunications, China in 2010. His research interests include public key cryptography and provably security. He is currently a lecturer in the State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, China. Licheng Wang received his BS from Northwest Normal University, China in 1995, and received his MS from Nanjing University in 2001, and received his PhD from Shanghai Jiao Tong University, China in 2007. His current research interests include modern cryptography, network security, and trust management. He is an associate profes-sor in Beijing University of Posts and Telecommunications. Chunli Yang received her BS in mathematics and applied mathematics from Taiyuan Normal University, China in 2009 and received her MS degree in applied mathematics from Civil Aviation University of China, China in 2012. Her specialty is cryptography, research interests i