［1］GUPTA R.Above the clouds:a view of cloud computing［J］.Asian Journal of Research in Social Sciences and Humanities,2012,2(6):84-110.br/ ［2］冯朝胜,秦志光,袁丁.云数据安全存储技术［J］.计算机学报,2015,38(1):150-163.br/ ［3］ATENIESE G,BUMS R,CURTMOLA R,et al.Remote data checking using provable data possession［J］.ACM Transactions on Information and System Security,2011,14(1):12.br/ ［4］WANG C,WANG Q,REN K,et al.Toward secure and dependable storage services in cloud computing［J］.IEEE Transactions on Services Computing,2012,5(2):220-232.br/ ［5］YU Y,XUE L,AU M H,et al.Cloud data integrity checking with an identity-based auditing mechanism from RSA［J］.Future Generation Computer Systems,2016,62(1):85-91.br/ ［6］王谦,熊书明.一种面向移动云存储的可验证访问控制方案［J］.计算机工程,2016,42(5):35-41.br/ ［7］SOOKHAK M,TALEBIAN H,AHMED E,et al.A review on remote data auditing in single cloud server:Taxonomy and open issues［J］.Journal of Network and Computer Applications,2014,43(1):121-141.br/ ［8］ZHANG Y,BLANTON M.Efficient dynamic provable possession of remote data via balanced update trees［C］//Proceedings of the 8th ACM SIGSAC Symposium on Information,Computer and Communications Security.New York,USA:ACM Press,2013:183-194.br/ ［9］袁多宝,王晓明.基于 MH 树的外包数据库查询验证方法［J］.计算机工程,2010,36(4):115-117.br/ ［10］BENABBAS S,GENNARO R,VAHLIS Y.Verifiable delegation of computation over large datasets［C］//Proceedings of Advances in Cryptology-CRYPTO’11.Washington D.C.,USA:IEEE Press,2011:111-131.br/ ［11］CATALANO D,FIORE D.Vector commitments and their applications［C］//Proceedings of PKC’13.Berlin,Germany:Springer,2013:55-72.br/ ［12］CHEN X,LI J,HUANG X,et al.New publicly verifiable databases with efficient updates［J］.IEEE Transactions on Dependable and Secure Computing,2015,12(5):546-556.br/ ［13］CHEN X,LI J,WENG J,et al.Verifiable computation over large database with incremental updates［J］.IEEE Transactions on Computers,2016,65(10):3184-3195.br/ ［14］JIANG T,CHEN X,MA J.Public integrity auditing for shared dynamic cloud data with group user revocation［J］.IEEE Transactions on Computers,2016,65(8):2363-2373.br/ ［15］WANG C,REN K,LOU W,et al.Toward publicly auditable secure cloud data storage services［J］.IEEE Network,2010,24(4).br/ ［16］ATENIESE G,FU K,GREEN M,et al.Improved proxy re-encryption schemes with applications to secure distributed storage［J］.ACM Transactions on Infor-mation and System Security,2006,9(1):1-30.br/