{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T18:04:55Z","timestamp":1775585095571,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":18,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642400407","type":"print"},{"value":"9783642400414","type":"electronic"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/http\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40041-4_1","type":"book-chapter","created":{"date-parts":[[2013,8,14]],"date-time":"2013-08-14T09:04:31Z","timestamp":1376471071000},"page":"1-20","source":"Crossref","is-referenced-by-count":64,"title":["Practical Bootstrapping in Quasilinear Time"],"prefix":"10.1007","author":[{"given":"Jacob","family":"Alperin-Sheriff","sequence":"first","affiliation":[]},{"given":"Chris","family":"Peikert","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","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.\u00a07237, pp. 719\u2013737. Springer, Heidelberg (2012)"},{"key":"1_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"868","DOI":"10.1007\/978-3-642-32009-5_50","volume-title":"CRYPTO","author":"Z. Brakerski","year":"2012","unstructured":"Brakerski, Z.: Fully homomorphic encryption without modulus switching from classical gapSVP. In: Safavi-Naini, R. (ed.) CRYPTO 2012. LNCS, vol.\u00a07417, pp. 868\u2013886. Springer, Heidelberg (2012)"},{"key":"1_CR3","doi-asserted-by":"crossref","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V. (Leveled) fully homomorphic encryption without bootstrapping. In: ICTS, pp. 309\u2013325 (2012)","DOI":"10.1145\/2090236.2090262"},{"key":"1_CR4","doi-asserted-by":"crossref","unstructured":"Brakerski, Z., Vaikuntanathan, V.: Efficient fully homomorphic encryption from (standard) LWE. In: FOCS, pp. 97\u2013106 (2011)","DOI":"10.1109\/FOCS.2011.12"},{"key":"1_CR5","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.\u00a06841, pp. 505\u2013524. Springer, Heidelberg (2011)"},{"key":"1_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/978-3-642-38348-9_20","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2013","author":"J.H. Cheon","year":"2013","unstructured":"Cheon, J.H., Coron, J.-S., Kim, J., Lee, M.S., Lepoint, T., Tibouchi, M., Yun, A.: Batch fully homomorphic encryption over the integers. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol.\u00a07881, pp. 315\u2013335. Springer, Heidelberg (2013)"},{"key":"1_CR7","doi-asserted-by":"crossref","unstructured":"Gentry, C.: A fully homomorphic encryption scheme. PhD thesis, Stanford University (2009), \n                    \n                      https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/http\/crypto.stanford.edu\/craig","DOI":"10.1145\/1536414.1536440"},{"key":"1_CR8","doi-asserted-by":"crossref","unstructured":"Gentry, C.: Fully homomorphic encryption using ideal lattices. In: STOC, pp. 169\u2013178 (2009)","DOI":"10.1145\/1536414.1536440"},{"key":"1_CR9","doi-asserted-by":"crossref","unstructured":"Gentry, C., Halevi, S.: Fully homomorphic encryption without squashing using depth-3 arithmetic circuits. In: FOCS, pp. 107\u2013109 (2011)","DOI":"10.1109\/FOCS.2011.94"},{"key":"1_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/978-3-642-20465-4_9","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2011","author":"C. Gentry","year":"2011","unstructured":"Gentry, C., Halevi, S.: Implementing Gentry\u2019s fully-homomorphic encryption scheme. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol.\u00a06632, pp. 129\u2013148. Springer, Heidelberg (2011)"},{"key":"1_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/978-3-642-32928-9_2","volume-title":"Security and Cryptography for Networks","author":"C. Gentry","year":"2012","unstructured":"Gentry, C., Halevi, S., Peikert, C., Smart, N.P.: Ring switching in BGV-style homomorphic encryption. In: Visconti, I., De Prisco, R. (eds.) SCN 2012. LNCS, vol.\u00a07485, pp. 19\u201337. Springer, Heidelberg (2012), \n                    \n                      https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/http\/eprint.iacr.org\/2012\/240"},{"key":"1_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-30057-8_1","volume-title":"Public Key Cryptography \u2013 PKC 2012","author":"C. Gentry","year":"2012","unstructured":"Gentry, C., Halevi, S., Smart, N.P.: Better bootstrapping in fully homomorphic encryption. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol.\u00a07293, pp. 1\u201316. Springer, Heidelberg (2012)"},{"key":"1_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1007\/978-3-642-29011-4_28","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2012","author":"C. Gentry","year":"2012","unstructured":"Gentry, C., Halevi, S., Smart, N.P.: Fully homomorphic encryption with polylog overhead. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol.\u00a07237, pp. 465\u2013482. Springer, Heidelberg (2012)"},{"key":"1_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"850","DOI":"10.1007\/978-3-642-32009-5_49","volume-title":"CRYPTO","author":"C. Gentry","year":"2012","unstructured":"Gentry, C., Halevi, S., Smart, N.P.: Homomorphic evaluation of the AES circuit. In: Safavi-Naini, R. (ed.) CRYPTO 2012. LNCS, vol.\u00a07417, pp. 850\u2013867. Springer, Heidelberg (2012)"},{"key":"1_CR15","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. J. ACM (2013); To appear Preliminary version In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol.\u00a06110, pp. 1\u201323. Springer, Heidelberg (2010)"},{"key":"1_CR16","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.\u00a07881, pp. 35\u201354. Springer, Heidelberg (2013)"},{"key":"1_CR17","unstructured":"Smart, N.P., Vercauteren, F.: Fully homomorphic SIMD operations. Cryptology ePrint Archive, Report 2011\/133 (2011), \n                    \n                      https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/http\/eprint.iacr.org\/"},{"key":"1_CR18","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 van","year":"2010","unstructured":"van Dijk, M., Gentry, C., Halevi, S., Vaikuntanathan, V.: Fully homomorphic encryption over the integers. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol.\u00a06110, pp. 24\u201343. Springer, Heidelberg (2010)"}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2013 CRYPTO 2013"],"original-title":[],"link":[{"URL":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/http\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40041-4_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T15:39:52Z","timestamp":1558021192000},"score":1,"resource":{"primary":{"URL":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/http\/link.springer.com\/10.1007\/978-3-642-40041-4_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642400407","9783642400414"],"references-count":18,"URL":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/https\/doi.org\/10.1007\/978-3-642-40041-4_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}