{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T08:25:29Z","timestamp":1743063929720,"version":"3.40.3"},"publisher-location":"Cham","reference-count":30,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031209161"},{"type":"electronic","value":"9783031209178"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-031-20917-8_8","type":"book-chapter","created":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T00:03:02Z","timestamp":1667779382000},"page":"105-120","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Batched Fully Dynamic Multi-key FHE from\u00a0FHEW-Like Cryptosystems"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1669-6589","authenticated-orcid":false,"given":"Yuting","family":"Jiang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0286-7973","authenticated-orcid":false,"given":"Jianghong","family":"Wei","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5701-6773","authenticated-orcid":false,"given":"Jing","family":"Pan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,11,7]]},"reference":[{"key":"8_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1007\/978-3-662-44371-2_17","volume-title":"Advances in Cryptology \u2013 CRYPTO 2014","author":"J Alperin-Sheriff","year":"2014","unstructured":"Alperin-Sheriff, J., Peikert, C.: Faster bootstrapping with polynomial error. In: Garay, J.A., Gennaro, R. (eds.) CRYPTO 2014. LNCS, vol. 8616, pp. 297\u2013314. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_17"},{"key":"8_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1007\/978-3-642-29011-4_42","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2012","author":"A Banerjee","year":"2012","unstructured":"Banerjee, A., Peikert, C., Rosen, A.: Pseudorandom functions and lattices. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 719\u2013737. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-29011-4_42"},{"issue":"1","key":"8_CR3","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1016\/0022-0000(89)90037-8","volume":"38","author":"DAM Barrington","year":"1989","unstructured":"Barrington, D.A.M.: Bounded-width polynomial-size branching programs recognize exactly those languages in nc$${^1}$$. J. Comput. Syst. Sci. 38(1), 150\u2013164 (1989). https:\/\/doi.org\/10.1016\/0022-0000(89)90037-8","journal-title":"J. Comput. Syst. Sci."},{"key":"8_CR4","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). https:\/\/doi.org\/10.1007\/978-3-642-32009-5_50"},{"issue":"3","key":"8_CR5","doi-asserted-by":"publisher","first-page":"13:1","DOI":"10.1145\/2633600","volume":"6","author":"Z Brakerski","year":"2014","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V.: (leveled) fully homomorphic encryption without bootstrapping. ACM Trans. Comput. Theory 6(3), 13:1-13:36 (2014). https:\/\/doi.org\/10.1145\/2633600","journal-title":"ACM Trans. Comput. Theory"},{"key":"8_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1007\/978-3-662-53018-4_8","volume-title":"Advances in Cryptology \u2013 CRYPTO 2016","author":"Z Brakerski","year":"2016","unstructured":"Brakerski, Z., Perlman, R.: Lattice-based fully dynamic multi-key FHE with short ciphertexts. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9814, pp. 190\u2013213. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53018-4_8"},{"key":"8_CR7","unstructured":"Chase, M., et al.: Security of homomorphic encryption. Technical report, HomomorphicEncryption.org, Redmond WA, USA (2017)"},{"key":"8_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1007\/978-3-030-34621-8_16","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2019","author":"H Chen","year":"2019","unstructured":"Chen, H., Chillotti, I., Song, Y.: Multi-key homomorphic encryption from TFHE. In: Galbraith, S.D., Moriai, S. (eds.) ASIACRYPT 2019. LNCS, vol. 11922, pp. 446\u2013472. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-34621-8_16"},{"key":"8_CR9","doi-asserted-by":"publisher","unstructured":"Chen, H., Dai, W., Kim, M., Song, Y.: Efficient multi-key homomorphic encryption with packed ciphertexts with application to oblivious neural network inference. In: Proceedings of the 2019 ACM SIGSAC Conference on Computer and Communications Security, CCS, pp. 395\u2013412. ACM (2019). https:\/\/doi.org\/10.1145\/3319535.3363207","DOI":"10.1145\/3319535.3363207"},{"key":"8_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/978-3-319-78381-9_12","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2018","author":"H Chen","year":"2018","unstructured":"Chen, H., Han, K.: Homomorphic lower digits removal and improved FHE bootstrapping. In: Nielsen, J.B., Rijmen, V. (eds.) EUROCRYPT 2018. LNCS, vol. 10820, pp. 315\u2013337. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-78381-9_12"},{"key":"8_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"597","DOI":"10.1007\/978-3-319-70503-3_20","volume-title":"Theory of Cryptography","author":"L Chen","year":"2017","unstructured":"Chen, L., Zhang, Z., Wang, X.: Batched multi-hop multi-key FHE from Ring-LWE with compact ciphertext extension. In: Kalai, Y., Reyzin, L. (eds.) TCC 2017. LNCS, vol. 10678, pp. 597\u2013627. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-70503-3_20"},{"key":"8_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1007\/978-3-319-78381-9_14","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2018","author":"JH Cheon","year":"2018","unstructured":"Cheon, J.H., Han, K., Kim, A., Kim, M., Song, Y.: Bootstrapping for approximate homomorphic encryption. In: Nielsen, J.B., Rijmen, V. (eds.) EUROCRYPT 2018. LNCS, vol. 10820, pp. 360\u2013384. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-78381-9_14"},{"key":"8_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1007\/978-3-319-70694-8_15","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2017","author":"JH Cheon","year":"2017","unstructured":"Cheon, J.H., Kim, A., Kim, M., Song, Y.: Homomorphic encryption for arithmetic of approximate numbers. In: Takagi, T., Peyrin, T. (eds.) ASIACRYPT 2017. LNCS, vol. 10624, pp. 409\u2013437. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-70694-8_15"},{"key":"8_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-662-53887-6_1","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2016","author":"I Chillotti","year":"2016","unstructured":"Chillotti, I., Gama, N., Georgieva, M., Izabach\u00e8ne, M.: Faster fully homomorphic encryption: bootstrapping in less than 0.1 seconds. In: Cheon, J.H., Takagi, T. (eds.) ASIACRYPT 2016. LNCS, vol. 10031, pp. 3\u201333. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53887-6_1"},{"key":"8_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1007\/978-3-662-48000-7_31","volume-title":"Advances in Cryptology \u2013 CRYPTO 2015","author":"M Clear","year":"2015","unstructured":"Clear, M., McGoldrick, C.: Multi-identity and multi-key leveled FHE from learning with errors. In: Gennaro, R., Robshaw, M. (eds.) CRYPTO 2015. LNCS, vol. 9216, pp. 630\u2013656. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-48000-7_31"},{"key":"8_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1007\/978-3-662-46800-5_24","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2015","author":"L Ducas","year":"2015","unstructured":"Ducas, L., Micciancio, D.: FHEW: bootstrapping homomorphic encryption in less than a second. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9056, pp. 617\u2013640. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46800-5_24"},{"key":"8_CR17","unstructured":"Fan, J., Vercauteren, F.: Somewhat practical fully homomorphic encryption. IACR Cryptol. ePrint Arch. 2012, 144 (2012). http:\/\/eprint.iacr.org\/2012\/144"},{"key":"8_CR18","doi-asserted-by":"publisher","unstructured":"Gentry, C.: Fully homomorphic encryption using ideal lattices. In: Proceedings of the 41st Annual ACM Symposium on Theory of Computing, STOC 2009, pp. 169\u2013178. ACM (2009). https:\/\/doi.org\/10.1145\/1536414.1536440","DOI":"10.1145\/1536414.1536440"},{"key":"8_CR19","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). https:\/\/doi.org\/10.1007\/978-3-662-46800-5_25"},{"key":"8_CR20","doi-asserted-by":"publisher","first-page":"50639","DOI":"10.1109\/ACCESS.2021.3069214","volume":"9","author":"Y Huang","year":"2021","unstructured":"Huang, Y., Wu, K., Chen, M.: Fully dynamic multi-key FHE without gaussian noise. IEEE Access 9, 50639\u201350645 (2021). https:\/\/doi.org\/10.1109\/ACCESS.2021.3069214","journal-title":"IEEE Access"},{"key":"8_CR21","doi-asserted-by":"publisher","unstructured":"L\u00f3pez-Alt, A., Tromer, E., Vaikuntanathan, V.: On-the-fly multiparty computation on the cloud via multikey fully homomorphic encryption. In: Proceedings of the 44th Symposium on Theory of Computing Conference, STOC 2012, pp. 1219\u20131234. ACM (2012). https:\/\/doi.org\/10.1145\/2213977.2214086","DOI":"10.1145\/2213977.2214086"},{"key":"8_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-13190-5_1","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"V Lyubashevsky","year":"2010","unstructured":"Lyubashevsky, V., Peikert, C., Regev, O.: On ideal lattices and learning with errors over rings. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 1\u201323. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-13190-5_1"},{"key":"8_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/978-3-642-38348-9_3","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2013","author":"V Lyubashevsky","year":"2013","unstructured":"Lyubashevsky, V., Peikert, C., Regev, O.: A toolkit for ring-LWE cryptography. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 35\u201354. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-38348-9_3"},{"key":"8_CR24","doi-asserted-by":"publisher","unstructured":"Micciancio, D., Polyakov, Y.: Bootstrapping in FHEW-like cryptosystems. In: WAHC 2021: Proceedings of the 9th on Workshop on Encrypted Computing & Applied Homomorphic Cryptography, Virtual Event, pp. 17\u201328. WAHC@ACM (2021). https:\/\/doi.org\/10.1145\/3474366.3486924","DOI":"10.1145\/3474366.3486924"},{"key":"8_CR25","doi-asserted-by":"publisher","unstructured":"Micciancio, D., Sorrell, J.: Ring packing and amortized FHEW bootstrapping. In: 45th International Colloquium on Automata, Languages, and Programming, ICALP 2018. LIPIcs, vol. 107, pp. 100:1\u2013100:14. Schloss Dagstuhl - Leibniz-Zentrum f\u00fcr Informatik (2018). https:\/\/doi.org\/10.4230\/LIPIcs.ICALP.2018.100","DOI":"10.4230\/LIPIcs.ICALP.2018.100"},{"key":"8_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"735","DOI":"10.1007\/978-3-662-49896-5_26","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"P Mukherjee","year":"2016","unstructured":"Mukherjee, P., Wichs, D.: Two round multiparty computation via multi-key FHE. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9666, pp. 735\u2013763. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-49896-5_26"},{"key":"8_CR27","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/978-3-662-53644-5_9","volume-title":"Theory of Cryptography","author":"C Peikert","year":"2016","unstructured":"Peikert, C., Shiehian, S.: Multi-key FHE from LWE, revisited. In: Hirt, M., Smith, A. (eds.) TCC 2016. LNCS, vol. 9986, pp. 217\u2013238. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53644-5_9"},{"key":"8_CR28","doi-asserted-by":"publisher","unstructured":"Regev, O.: On lattices, learning with errors, random linear codes, and cryptography. In: Proceedings of the 37th Annual ACM Symposium on Theory of Computing, pp. 84\u201393. ACM (2005), https:\/\/doi.org\/10.1145\/1060590.1060603","DOI":"10.1145\/1060590.1060603"},{"issue":"1","key":"8_CR29","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s10623-012-9720-4","volume":"71","author":"NP Smart","year":"2012","unstructured":"Smart, N.P., Vercauteren, F.: Fully homomorphic SIMD operations. Des. Codes Crypt. 71(1), 57\u201381 (2012). https:\/\/doi.org\/10.1007\/s10623-012-9720-4","journal-title":"Des. Codes Crypt."},{"key":"8_CR30","doi-asserted-by":"publisher","unstructured":"Williams, V.V.: Multiplying matrices faster than coppersmith-winograd. In: Proceedings of the 44th Symposium on Theory of Computing Conference, STOC, pp. 887\u2013898. ACM (2012). https:\/\/doi.org\/10.1145\/2213977.2214056","DOI":"10.1145\/2213977.2214056"}],"container-title":["Lecture Notes in Computer Science","Provable and Practical Security"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-20917-8_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T00:46:46Z","timestamp":1667782006000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-20917-8_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783031209161","9783031209178"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-20917-8_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"7 November 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ProvSec","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Provable Security","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Nanjing","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 November 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 November 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"provsec2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/provsec2022.github.io\/ProvSec2022\/#","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Easychair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"52","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"15","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"4","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"29% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2.9","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.5","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}