{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T00:02:45Z","timestamp":1769126565368,"version":"3.49.0"},"reference-count":32,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2019,10,9]],"date-time":"2019-10-09T00:00:00Z","timestamp":1570579200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61472097"],"award-info":[{"award-number":["61472097"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Heilongjiang Province  of China","award":["JJ2019LH1770"],"award-info":[{"award-number":["JJ2019LH1770"]}]},{"name":"Special Funds of Heilongjiang 309 University of the Fundamental Research Funds for the Heilongjiang Province","award":["RCCXYJ201812"],"award-info":[{"award-number":["RCCXYJ201812"]}]},{"name":"the Open  Fund of the State Key Laboratory of Information Security","award":["2019-ZD-05"],"award-info":[{"award-number":["2019-ZD-05"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The ciphertext-policy attribute-based proxy re-encryption (CP-ABPRE) scheme supports access control and can transform a ciphertext under an access policy to a ciphertext under another access policy without decrypting the ciphertexts, which is flexible and efficient for cloud sharing. The existing CP-ABPRE schemes are constructed by bilinear pairing or multi-linear maps which are fragile when the post-quantum future comes. This paper presents an efficient unidirectional single-hop CP-ABPRE scheme with small public parameters from a lattice. For the transformation between two access structures, they are required to be disjoint. This paper uses the trapdoor sampling technique to generate the decryption key and the re-encryption key in constructing the scheme, and uses the decompose vectors technique to produce the re-encrypted ciphertexts in order to control their noise. Finally, we extended the scheme to a unidirectional single-hop CP-ABPRE scheme with keyword search for searching the encrypted data. Both schemes were proved secure under the learning with errors assumption, which is widely believed to be secure in quantum computer attacks. To the best of our knowledge, our scheme is the first CP-ABPRE scheme based on the learning with errors assumption.<\/jats:p>","DOI":"10.3390\/sym11101262","type":"journal-article","created":{"date-parts":[[2019,10,9]],"date-time":"2019-10-09T11:25:57Z","timestamp":1570620357000},"page":"1262","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["A Novel Lattice-Based CP-ABPRE Scheme for Cloud Sharing"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2721-2655","authenticated-orcid":false,"given":"Juyan","family":"Li","sequence":"first","affiliation":[{"name":"College of Data Science and Technology, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunguang","family":"Ma","sequence":"additional","affiliation":[{"name":"College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China"},{"name":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kejia","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Data Science and Technology, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,10,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.ins.2016.08.093","article-title":"Supporting dynamic updates in storage clouds with the Akl-Taylor scheme","volume":"387","author":"Castiglione","year":"2017","journal-title":"Inf. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1145\/2988239","article-title":"On the workflow satisfiability problem with class-independent constraints for hierarchical organizations","volume":"19","author":"Crampton","year":"2016","journal-title":"ACM Trans. Priv. Secur."},{"key":"ref_3","unstructured":"Goyal, V., Pandey, O., Sahai, A., and Waters, B. (November, January 30). Attribute-based encryption for finegrained access control of encrypted data. Proceedings of the 13th ACM Conference on Computer and Communications Security, Alexandria, VA, USA."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3441","DOI":"10.1007\/s11042-013-1829-6","article-title":"Designing cloud-based electronic health record system with attribute-based encryption","volume":"74","author":"Xhafa","year":"2015","journal-title":"Multimed. Tools Appl."},{"key":"ref_5","first-page":"181","article-title":"On the Security of an Improved Password Authentication Scheme Based on ECC","volume":"Volume 7473","author":"Wang","year":"2012","journal-title":"Information Computing and Applications, ICICA 2012"},{"key":"ref_6","first-page":"105","article-title":"Cryptanalysis and improvement of a password-based remote user authentication scheme without smart cards","volume":"42","author":"He","year":"2013","journal-title":"Inf. Technol. Control."},{"key":"ref_7","first-page":"148","article-title":"Secure password-based remote user authentication scheme against smart card security breach","volume":"8","author":"Wang","year":"2013","journal-title":"J. Netw."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1142\/S0129054117400111","article-title":"Lattice-Based Identity-Based Homomorphic Conditional Proxy Re-Encryption for Secure Big Data Computing in Cloud Environment","volume":"28","author":"Ma","year":"2017","journal-title":"Int. J. Found. Comput. Sci."},{"key":"ref_9","first-page":"353","article-title":"A Homomorphic Proxy Re-encryption from Lattices","volume":"Volume 10005","author":"Ma","year":"2016","journal-title":"Provable Security. ProvSec 2016"},{"key":"ref_10","first-page":"592","article-title":"Unidirectional FHPRE Scheme from Lattice for Cloud Computing","volume":"21","author":"Li","year":"2019","journal-title":"Int. J. Netw. Secur."},{"key":"ref_11","first-page":"38","article-title":"Lattice Based Identity Based Proxy Re-Encryption Scheme","volume":"3","author":"Singh","year":"2013","journal-title":"J. Internet Serv. Inf. Secur."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"e4211","DOI":"10.1002\/cpe.4211","article-title":"Semantic keyword searchable proxy re-encryption for postquantum secure cloud storage","volume":"29","author":"Yang","year":"2017","journal-title":"Concurr. Comput. Pract. Exp."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Liang, X., Cao, Z., Lin, H., and Shao, J. (2009, January 10\u201312). Attribute based proxy re-encryption with delegating capabilities. Proceedings of the 4th International Symposium on Information, Computer, and Communications Security, Sydney, Australia.","DOI":"10.1145\/1533057.1533094"},{"key":"ref_14","first-page":"401","article-title":"Ciphertext Policy Attribute-Based Proxy Re-encryption","volume":"Volume 6476","author":"Luo","year":"2010","journal-title":"Information and Communications Security, ICICS 2010"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.future.2014.11.016","article-title":"A secure and efficient Ciphertext-Policy Attribute-Based Proxy Re-Encryption for cloud data sharing","volume":"52","author":"Liang","year":"2015","journal-title":"Future Gener. Comput. Syst."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Zhang, J., Zhang, Z., and Ge, A. (2012, January 2\u20134). Ciphertext policy attribute-based encryption from lattices. Proceedings of the 7th ACM Symposium on Information, Computer and Communications Security, Seoul, Korea.","DOI":"10.1145\/2414456.2414464"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Zeng, F., and Xu, C. (2015). A novel model for lattice-based authorized searchable encryption with special keyword. Math. Probl. Eng., 314621.","DOI":"10.1155\/2015\/314621"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Boneh, D., Di Crescenzo, G., Ostrovsky, R., and Persiano, G. (2004, January 2\u20136). Public key encryption with keyword search. Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques, Interlaken, Switzerland.","DOI":"10.1007\/978-3-540-24676-3_30"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2576","DOI":"10.1016\/j.ins.2010.03.026","article-title":"Proxy re-encryption with keyword search","volume":"180","author":"Shao","year":"2010","journal-title":"Inf. Sci."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1016\/j.jss.2011.09.035","article-title":"Further observation on proxy re-encryption with keyword search","volume":"85","author":"Wang","year":"2012","journal-title":"J. Syst. Softw."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Shi, Y., Liu, J., Han, Z., Zheng, Q., Zhang, R., and Qiu, S. (2015). Attribute-Based Proxy Re-Encryption with Keyword Search. PLoS ONE, 9.","DOI":"10.1371\/journal.pone.0116325"},{"key":"ref_22","unstructured":"Hong, H., and Sun, Z. (2017, January 28\u201330). Towards secure data sharing in cloud computing using attribute based proxy re-encryption with keyword search. Proceedings of the 2017 IEEE 2nd International Conference on Cloud Computing and Big Data Analysis, ICCCBDA2017, Chengdu, China."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1007\/s00224-010-9278-3","article-title":"Generating shorter bases for hard random lattices","volume":"48","author":"Alwen","year":"2011","journal-title":"Theory Comput. Syst."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1007\/978-3-642-13190-5_28","article-title":"Efficient Lattice (H)IBE in the Standard Model","volume":"Volume 6110","author":"Agrawal","year":"2010","journal-title":"Advances in Cryptology-EUROCRYPT 2010, EUROCRYPT 2010"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1007\/978-3-642-29011-4_41","article-title":"Trapdoors for Lattices: Simpler, Tighter, Faster, Smaller","volume":"Volume 7237","author":"Micciancio","year":"2012","journal-title":"Advances in Cryptology-EUROCRYPT 2012, EUROCRYPT 2012"},{"key":"ref_26","first-page":"34","article-title":"On lattices, learning with errors, random linear codes, and cryptography","volume":"56","author":"Regev","year":"2005","journal-title":"J. ACM"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Liang, K., Fang, L., Susilo, W., and Wong, D.S. (2013, January 9\u201311). A ciphertext-policy attribute-based proxy re-encryption with chosen-ciphertext security. Proceedings of the 5th International Conference on Intelligent Networking and Collaborative Systems, INCoS2013, Xi\u2019an, China.","DOI":"10.1109\/INCoS.2013.103"},{"key":"ref_28","first-page":"324","article-title":"A Ciphertext Policy Attribute-Based Encryption Scheme without Pairings","volume":"Volume 7537","author":"Zhang","year":"2011","journal-title":"Information Security and Cryptology. Inscrypt 2011"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"70017","DOI":"10.1109\/ACCESS.2018.2879479","article-title":"A New Kind of Conditional Proxy Re-Encryption for Secure Cloud Storage","volume":"6","author":"Zeng","year":"2018","journal-title":"IEEE Access"},{"key":"ref_30","unstructured":"Xagawa, K. (2010). Cryptography with Lattices. [Ph.D. Thesis, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology]."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"3796","DOI":"10.1002\/sec.1300","article-title":"Lattice-based multi-use unidirectional proxy re-encryption","volume":"8","author":"Jiang","year":"2016","journal-title":"Secur. Commun. Netw."},{"key":"ref_32","first-page":"110","article-title":"Identity-Based Multi-bit Proxy Re-encryption Over Lattice in the Standard Model","volume":"Volume 879","author":"Hou","year":"2018","journal-title":"Frontiers in Cyber Security, FCS 2018, Communications in Computer and Information Science"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/10\/1262\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:28:48Z","timestamp":1760189328000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/10\/1262"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,9]]},"references-count":32,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2019,10]]}},"alternative-id":["sym11101262"],"URL":"https:\/\/doi.org\/10.3390\/sym11101262","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,9]]}}}