{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,19]],"date-time":"2026-06-19T15:47:24Z","timestamp":1781884044465,"version":"3.54.5"},"publisher-location":"Berlin, Heidelberg","reference-count":25,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783662543870","type":"print"},{"value":"9783662543887","type":"electronic"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-662-54388-7_9","type":"book-chapter","created":{"date-parts":[[2017,2,25]],"date-time":"2017-02-25T04:12:22Z","timestamp":1487995942000},"page":"241-270","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Circuit-Private Multi-key FHE"],"prefix":"10.1007","author":[{"given":"Wutichai","family":"Chongchitmate","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rafail","family":"Ostrovsky","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2017,2,26]]},"reference":[{"key":"9_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/3-540-44987-6_8","volume-title":"Advances in Cryptology \u2014 EUROCRYPT 2001","author":"B Aiello","year":"2001","unstructured":"Aiello, B., Ishai, Y., Reingold, O.: Priced oblivious transfer: how to sell digital goods. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 119\u2013135. Springer, Heidelberg (2001). doi:\n                      10.1007\/3-540-44987-6_8"},{"key":"9_CR2","doi-asserted-by":"crossref","unstructured":"Albrecht, M., Bai, S., Ducas, L.: A subfield lattice attack on overstretched NTRU assumptions: cryptanalysis of some FHE and graded encoding schemes. Technical report, Cryptology ePrint Archive, Report 2016\/127 (2016)","DOI":"10.1007\/978-3-662-53018-4_6"},{"key":"9_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1007\/978-3-642-29011-4_29","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2012","author":"G Asharov","year":"2012","unstructured":"Asharov, G., Jain, A., L\u00f3pez-Alt, A., Tromer, E., Vaikuntanathan, V., Wichs, D.: Multiparty computation with low communication, computation and interaction via threshold FHE. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 483\u2013501. Springer, Heidelberg (2012). doi:\n                      10.1007\/978-3-642-29011-4_29"},{"key":"9_CR4","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:\n                      10.1007\/978-3-642-22792-9_29"},{"issue":"1","key":"9_CR5","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/s001459910006","volume":"13","author":"R Canetti","year":"2000","unstructured":"Canetti, R.: Security and composition of multiparty cryptographic protocols. J. Cryptol. 13(1), 143\u2013202 (2000)","journal-title":"J. Cryptol."},{"key":"9_CR6","unstructured":"Chongchitmate, W., Ostrovsky, R.: Circuit-private multi-key FHE. Cryptology ePrint Archive, Report 2017\/010 (2017). \n                      http:\/\/eprint.iacr.org\/"},{"key":"9_CR7","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). doi:\n                      10.1007\/978-3-662-48000-7_31"},{"key":"9_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/3-540-44586-2_9","volume-title":"Public Key Cryptography","author":"I Damg\u00e5rd","year":"2001","unstructured":"Damg\u00e5rd, I., Jurik, M.: A generalisation, a simplification and some applications of Paillier\u2019s probabilistic public-key system. In: Kim, K. (ed.) PKC 2001. LNCS, vol. 1992, pp. 119\u2013136. Springer, London (2001). doi:\n                      10.1007\/3-540-44586-2_9\n                      \n                    . \n                      http:\/\/dl.acm.org\/citation.cfm?id=648118.746742"},{"key":"9_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"294","DOI":"10.1007\/978-3-662-49890-3_12","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2016","author":"L Ducas","year":"2016","unstructured":"Ducas, L., Stehl\u00e9, D.: Sanitization of FHE ciphertexts. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9665, pp. 294\u2013310. Springer, Heidelberg (2016). doi:\n                      10.1007\/978-3-662-49890-3_12"},{"key":"9_CR10","doi-asserted-by":"crossref","unstructured":"Gentry, C.: A fully homomorphic encryption scheme. Ph.D. thesis, Stanford University (2009)","DOI":"10.1145\/1536414.1536440"},{"key":"9_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/978-3-642-14623-7_9","volume-title":"Advances in Cryptology \u2013 CRYPTO 2010","author":"C Gentry","year":"2010","unstructured":"Gentry, C., Halevi, S., Vaikuntanathan, V.: i-Hop homomorphic encryption and rerandomizable Yao circuits. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 155\u2013172. Springer, Heidelberg (2010). doi:\n                      10.1007\/978-3-642-14623-7_9"},{"key":"9_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:\n                      10.1007\/978-3-642-40041-4_5"},{"issue":"1","key":"9_CR13","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1007\/s00145-010-9092-8","volume":"25","author":"S Halevi","year":"2012","unstructured":"Halevi, S., Kalai, Y.T.: Smooth projective hashing and two-message oblivious transfer. J. Cryptol. 25(1), 158\u2013193 (2012)","journal-title":"J. Cryptol."},{"key":"9_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1007\/978-3-642-22792-9_8","volume-title":"Advances in Cryptology \u2013 CRYPTO 2011","author":"S Halevi","year":"2011","unstructured":"Halevi, S., Lindell, Y., Pinkas, B.: Secure computation on the web: computing without simultaneous interaction. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 132\u2013150. Springer, Heidelberg (2011). doi:\n                      10.1007\/978-3-642-22792-9_8\n                      \n                    . \n                      http:\/\/dl.acm.org\/citation.cfm?id=2033036.2033047"},{"key":"9_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1007\/978-3-540-70936-7_31","volume-title":"Theory of Cryptography","author":"Y Ishai","year":"2007","unstructured":"Ishai, Y., Paskin, A.: Evaluating branching programs on encrypted data. In: Vadhan, S.P. (ed.) TCC 2007. LNCS, vol. 4392, pp. 575\u2013594. Springer, Heidelberg (2007). doi:\n                      10.1007\/978-3-540-70936-7_31\n                      \n                    . \n                      http:\/\/dl.acm.org\/citation.cfm?id=1760749.1760790"},{"key":"9_CR16","unstructured":"Kamara, S., Mohassel, P., Raykova, M.: Outsourcing multi-party computation. IACR Cryptology ePrint Archive 2011, 272 (2011)"},{"key":"9_CR17","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 44th Annual ACM Symposium on Theory of Computing, STOC 2012, NY, USA, pp. 1219\u20131234 (2012). \n                      http:\/\/doi.acm.org\/10.1145\/2213977.2214086"},{"key":"9_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1007\/978-3-642-38348-9_33","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2013","author":"P Mohassel","year":"2013","unstructured":"Mohassel, P., Sadeghian, S.: How to hide circuits in MPC an efficient framework for private function evaluation. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 557\u2013574. Springer, Heidelberg (2013). doi:\n                      10.1007\/978-3-642-38348-9_33"},{"key":"9_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"486","DOI":"10.1007\/978-3-662-45608-8_26","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2014","author":"P Mohassel","year":"2014","unstructured":"Mohassel, P., Sadeghian, S., Smart, N.P.: Actively secure private function evaluation. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014. LNCS, vol. 8874, pp. 486\u2013505. Springer, Heidelberg (2014). doi:\n                      10.1007\/978-3-662-45608-8_26"},{"key":"9_CR20","unstructured":"Mukherjee, P., Wichs, D.: Two round mutliparty computation via multi-key FHE. Cryptology ePrint Archive, Report 2015\/345 (2015). \n                      http:\/\/eprint.iacr.org\/"},{"key":"9_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"536","DOI":"10.1007\/978-3-662-44371-2_30","volume-title":"Advances in Cryptology \u2013 CRYPTO 2014","author":"R Ostrovsky","year":"2014","unstructured":"Ostrovsky, R., Paskin-Cherniavsky, A., Paskin-Cherniavsky, B.: Maliciously circuit-private FHE. In: Garay, J.A., Gennaro, R. (eds.) CRYPTO 2014. LNCS, vol. 8616, pp. 536\u2013553. Springer, Heidelberg (2014). doi:\n                      10.1007\/978-3-662-44371-2_30"},{"key":"9_CR22","doi-asserted-by":"crossref","unstructured":"Pippenger, N.: On simultaneous resource bounds. In: Proceedings of 20th Annual Symposium on Foundations of Computer Science, SFCS 1979, pp. 307\u2013311 (1979). \n                      http:\/\/dx.doi.org\/10.1109\/SFCS.1979.29","DOI":"10.1109\/SFCS.1979.29"},{"key":"9_CR23","unstructured":"Raz, R.: Elusive functions and lower bounds for arithmetic circuits. In: Proceedings of 40th Annual ACM Symposium on Theory of Computing, STOC 2008, NY, USA, pp. 711\u2013720 (2008). \n                      http:\/\/doi.acm.org\/10.1145\/1374376.1374479"},{"key":"9_CR24","unstructured":"Valiant, L.G.: Universal circuits (preliminary report). In: Proceedings of 8th Annual ACM Symposium on Theory of Computing, STOC 1976, NY, USA, pp. 196\u2013203 (1976). \n                      http:\/\/doi.acm.org\/10.1145\/800113.803649"},{"key":"9_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1007\/978-3-642-13190-5_2","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2010","author":"M Dijk","year":"2010","unstructured":"Dijk, M., Gentry, C., Halevi, S., Vaikuntanathan, V.: Fully homomorphic encryption over the integers. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 24\u201343. Springer, Heidelberg (2010). doi:\n                      10.1007\/978-3-642-13190-5_2"}],"container-title":["Lecture Notes in Computer Science","Public-Key Cryptography \u2013 PKC 2017"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-54388-7_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,23]],"date-time":"2020-02-23T20:11:20Z","timestamp":1582488680000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-54388-7_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783662543870","9783662543887"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-54388-7_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"26 February 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"PKC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"IACR International Workshop on Public Key Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Amsterdam","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 March 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"31 March 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pkc2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.iacr.org\/workshops\/pkc2017\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}