{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T20:53:09Z","timestamp":1725915189983},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319685410"},{"type":"electronic","value":"9783319685427"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-68542-7_21","type":"book-chapter","created":{"date-parts":[[2017,11,1]],"date-time":"2017-11-01T15:23:50Z","timestamp":1509549830000},"page":"256-267","source":"Crossref","is-referenced-by-count":1,"title":["Towards Fully Homomorphic Encryption From Gentry-Peikert-Vaikuntanathan Scheme"],"prefix":"10.1007","author":[{"given":"Gang","family":"Du","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunguang","family":"Ma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zengpeng","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ding","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,11,2]]},"reference":[{"key":"21_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1007\/978-3-642-13190-5_28","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"S Agrawal","year":"2010","unstructured":"Agrawal, S., Boneh, D., Boyen, X.: Efficient lattice (H)IBE in the standard model. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 553\u2013572. Springer, Heidelberg (2010). doi: 10.1007\/978-3-642-13190-5_28"},{"key":"21_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"868","DOI":"10.1007\/978-3-642-32009-5_50","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"Z Brakerski","year":"2012","unstructured":"Brakerski, Z.: Fully homomorphic encryption without modulus switching from classical GapSVP. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 868\u2013886. Springer, Heidelberg (2012). doi: 10.1007\/978-3-642-32009-5_50"},{"key":"21_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-36362-7_1","volume-title":"Public-Key Cryptography \u2013 PKC 2013","author":"Z Brakerski","year":"2013","unstructured":"Brakerski, Z., Gentry, C., Halevi, S.: Packed ciphertexts in LWE-based homomorphic encryption. In: Kurosawa, K., Hanaoka, G. (eds.) PKC 2013. LNCS, vol. 7778, pp. 1\u201313. Springer, Heidelberg (2013). doi: 10.1007\/978-3-642-36362-7_1"},{"key":"21_CR4","doi-asserted-by":"crossref","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V.: (Leveled) fully homomorphic encryption without bootstrapping. In Proceedings of the 3rd Innovations in Theoretical Computer Science Conference, pp. 309\u2013325, ACM (2012)","DOI":"10.1145\/2090236.2090262"},{"key":"21_CR5","doi-asserted-by":"crossref","unstructured":"Brakerski, Z., Vaikuntanathan, V.: Efficient fully homomorphic encryption from (standard) LWE. In: 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, pp. 97\u2013106. IEEE (2011)","DOI":"10.1109\/FOCS.2011.12"},{"key":"21_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1007\/978-3-642-22792-9_29","volume-title":"Advances in Cryptology \u2013 CRYPTO 2011","author":"Z Brakerski","year":"2011","unstructured":"Brakerski, Z., Vaikuntanathan, V.: Fully homomorphic encryption from ring-LWE and security for key dependent messages. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 505\u2013524. Springer, Heidelberg (2011). doi: 10.1007\/978-3-642-22792-9_29"},{"key":"21_CR7","doi-asserted-by":"crossref","unstructured":"Brakerski, Z., Vaikuntanathan, V.: Lattice-based the as secure as PKE. In: Proceedings of the 5th Conference on Innovations in Theoretical Computer Science, pp. 1\u201312 (2014)","DOI":"10.1145\/2554797.2554799"},{"issue":"9","key":"21_CR8","doi-asserted-by":"crossref","first-page":"2546","DOI":"10.1109\/TPDS.2015.2506573","volume":"27","author":"Z Fu","year":"2016","unstructured":"Fu, Z., Ren, K., Shu, J., Sun, X., Huang, F.: Enabling personalized search over encrypted outsourced data with efficiency improvement. IEEE Trans. Parallel Distrib. Syst. 27(9), 2546\u20132559 (2016)","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"21_CR9","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1142\/S0219493709002610","volume":"9","author":"C Gentry","year":"2009","unstructured":"Gentry, C., et al.: Fully homomorphic encryption using ideal lattices. STOC 9, 169\u2013178 (2009)","journal-title":"STOC"},{"key":"21_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"850","DOI":"10.1007\/978-3-642-32009-5_49","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"C Gentry","year":"2012","unstructured":"Gentry, C., Halevi, S., Smart, N.P.: Homomorphic evaluation of the AES circuit. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 850\u2013867. Springer, Heidelberg (2012). doi: 10.1007\/978-3-642-32009-5_49"},{"key":"21_CR11","doi-asserted-by":"crossref","unstructured":"Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices and new cryptographic constructions. In: Proceedings of the Fortieth Annual ACM Symposium on Theory of Computing, pp. 197\u2013206. ACM (2008)","DOI":"10.1145\/1374376.1374407"},{"key":"21_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1007\/978-3-642-40041-4_5","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"C Gentry","year":"2013","unstructured":"Gentry, C., Sahai, A., Waters, B.: Homomorphic encryption from learning with errors: conceptually-simpler, asymptotically-faster, attribute-based. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013. LNCS, vol. 8042, pp. 75\u201392. Springer, Heidelberg (2013). doi: 10.1007\/978-3-642-40041-4_5"},{"key":"21_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"554","DOI":"10.1007\/978-3-662-44371-2_31","volume-title":"Advances in Cryptology \u2013 CRYPTO 2014","author":"S Halevi","year":"2014","unstructured":"Halevi, S., Shoup, V.: Algorithms in HElib. In: Garay, J.A., Gennaro, R. (eds.) CRYPTO 2014. LNCS, vol. 8616, pp. 554\u2013571. Springer, Heidelberg (2014). doi: 10.1007\/978-3-662-44371-2_31"},{"key":"21_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1007\/978-3-662-46800-5_25","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2015","author":"S Halevi","year":"2015","unstructured":"Halevi, S., Shoup, V.: Bootstrapping for HElib. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9056, pp. 641\u2013670. Springer, Heidelberg (2015). doi: 10.1007\/978-3-662-46800-5_25"},{"key":"21_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1007\/978-3-662-46447-2_31","volume-title":"Public-Key Cryptography \u2013 PKC 2015","author":"R Hiromasa","year":"2015","unstructured":"Hiromasa, R., Abe, M., Okamoto, T.: Packing messages and optimizing bootstrapping in GSW-FHE. In: Katz, J. (ed.) PKC 2015. LNCS, vol. 9020, pp. 699\u2013715. Springer, Heidelberg (2015). doi: 10.1007\/978-3-662-46447-2_31"},{"key":"21_CR16","doi-asserted-by":"crossref","unstructured":"Li, Z., Galbraith, S.D., Ma, C.: Preventing adaptive key recovery attacks on the GSW levelled homomorphic encryption scheme. In: Proceedings of the Provable Security - 10th International Conference, ProvSec 2016, Nanjing, China, 10\u201311 November 2016, pp. 373\u2013383 (2016)","DOI":"10.1007\/978-3-319-47422-9_22"},{"key":"21_CR17","doi-asserted-by":"crossref","unstructured":"Li, Z., Ma, C., Du, G., Ouyang, W.: Dual LWE-based fully homomorphic encryption with errorless key switching. In: IEEE ICPADS 2016, pp. 1169\u20131174 (2016)","DOI":"10.1109\/ICPADS.2016.0154"},{"key":"21_CR18","doi-asserted-by":"crossref","unstructured":"Li, Z., Ma, C., Morais, E., Du, G.: Multi-bit leveled homomorphic encryption via mathsf dual.LWE-based. In: Proceedings Inscrypt 2016, Revised Selected Papers, Beijing, China, 4\u20136 November 2016, pp. 221\u2013242 (2016)","DOI":"10.1007\/978-3-319-54705-3_14"},{"key":"21_CR19","doi-asserted-by":"crossref","unstructured":"Li, Z., Ma, C., Wang, D.: Leakage resilient leveled the on multiple bit message. IEEE Trans. Big Data (2017)","DOI":"10.1109\/TBDATA.2017.2726554"},{"issue":"11","key":"21_CR20","first-page":"169","volume":"4","author":"RL Rivest","year":"1978","unstructured":"Rivest, R.L., Adleman, L., Dertouzos, M.L.: On data banks and privacy homomorphisms. Found. Secure Comput. 4(11), 169\u2013180 (1978)","journal-title":"Found. Secure Comput."},{"key":"21_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"420","DOI":"10.1007\/978-3-642-13013-7_25","volume-title":"Public Key Cryptography \u2013 PKC 2010","author":"NP Smart","year":"2010","unstructured":"Smart, N.P., Vercauteren, F.: Fully homomorphic encryption with relatively small key and ciphertext sizes. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 420\u2013443. Springer, Heidelberg (2010). doi: 10.1007\/978-3-642-13013-7_25"},{"key":"21_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/978-3-642-17373-8_22","volume-title":"Advances in Cryptology - ASIACRYPT 2010","author":"D Stehl\u00e9","year":"2010","unstructured":"Stehl\u00e9, D., Steinfeld, R.: Faster fully homomorphic encryption. In: Abe, M. (ed.) ASIACRYPT 2010. LNCS, vol. 6477, pp. 377\u2013394. Springer, Heidelberg (2010). doi: 10.1007\/978-3-642-17373-8_22"},{"issue":"4","key":"21_CR23","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1109\/TDSC.2014.2355850","volume":"12","author":"D Wang","year":"2015","unstructured":"Wang, D., He, D., Wang, P., Chu, C.-H.: Anonymous two-factor authentication in distributed systems: certain goals are beyond attainment. IEEE Trans. Dependable Secure Comput. 12(4), 428\u2013442 (2015)","journal-title":"IEEE Trans. Dependable Secure Comput."},{"key":"21_CR24","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1016\/j.ins.2015.03.070","volume":"321","author":"D Wang","year":"2015","unstructured":"Wang, D., Wang, N., Wang, P., Qing, S.: Preserving privacy for free: efficient and provably secure two-factor authentication scheme with user anonymity. Inf. Sci. 321, 162\u2013178 (2015)","journal-title":"Inf. Sci."},{"issue":"2","key":"21_CR25","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1109\/TPDS.2015.2401003","volume":"27","author":"Z Xia","year":"2016","unstructured":"Xia, Z., Wang, X., Sun, X., Wang, Q.: A secure and dynamic multi-keyword ranked search scheme over encrypted cloud data. IEEE Trans. Parallel Distrib. Syst. 27(2), 340\u2013352 (2016)","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"issue":"11","key":"21_CR26","doi-asserted-by":"crossref","first-page":"2594","DOI":"10.1109\/TIFS.2016.2590944","volume":"1","author":"Z Xia","year":"2016","unstructured":"Xia, Z., Wang, X., Zhang, L., Qin, Z., Sun, X., Ren, K.: A privacy-preserving and copy-deterrence content-based image retrieval scheme in cloud computing. IEEE Trans. Inf. Forensics Secur. 1(11), 2594\u20132608 (2016)","journal-title":"IEEE Trans. Inf. Forensics Secur."}],"container-title":["Lecture Notes in Computer Science","Cloud Computing and Security"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-68542-7_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,5]],"date-time":"2019-10-05T12:52:55Z","timestamp":1570279975000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-68542-7_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319685410","9783319685427"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-68542-7_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}