{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,7]],"date-time":"2025-12-07T13:10:18Z","timestamp":1765113018926,"version":"3.40.3"},"publisher-location":"Cham","reference-count":22,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031577277"},{"type":"electronic","value":"9783031577284"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-57728-4_11","type":"book-chapter","created":{"date-parts":[[2024,4,13]],"date-time":"2024-04-13T23:52:34Z","timestamp":1713052354000},"page":"322-353","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Faster Amortized FHEW Bootstrapping Using Ring Automorphisms"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2617-6878","authenticated-orcid":false,"given":"Gabrielle","family":"De Micheli","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4766-3456","authenticated-orcid":false,"given":"Duhyeong","family":"Kim","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3323-9985","authenticated-orcid":false,"given":"Daniele","family":"Micciancio","sequence":"additional","affiliation":[]},{"given":"Adam","family":"Suhl","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,4,14]]},"reference":[{"key":"11_CR1","doi-asserted-by":"crossref","unstructured":"Al\u00a0Badawi, A., et\u00a0al.: OpenFHE: open-source fully homomorphic encryption library. In: Proceedings of the 10th Workshop on Encrypted Computing & Applied Homomorphic Cryptography, pp. 53\u201363 (2022)","DOI":"10.1145\/3560827.3563379"},{"key":"11_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-40041-4_1","volume-title":"Advances in Cryptology \u2013 CRYPTO 2013","author":"J Alperin-Sheriff","year":"2013","unstructured":"Alperin-Sheriff, J., Peikert, C.: Practical bootstrapping in quasilinear time. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013. LNCS, vol. 8042, pp. 1\u201320. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-40041-4_1"},{"key":"11_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/978-3-319-89339-6_13","volume-title":"Progress in Cryptology \u2013 AFRICACRYPT 2018","author":"G Bonnoron","year":"2018","unstructured":"Bonnoron, G., Ducas, L., Fillinger, M.: Large FHE gates from tensored homomorphic accumulator. In: Joux, A., Nitaj, A., Rachidi, T. (eds.) AFRICACRYPT 2018. LNCS, vol. 10831, pp. 217\u2013251. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-89339-6_13"},{"key":"11_CR4","doi-asserted-by":"publisher","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V.: (Leveled) fully homomorphic encryption without bootstrapping. ACM Trans. Comput. Theory 6(3), 13:1\u201313:36 (2014). https:\/\/doi.org\/10.1145\/2633600","DOI":"10.1145\/2633600"},{"issue":"1","key":"11_CR5","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/s00145-019-09319-x","volume":"33","author":"I Chillotti","year":"2020","unstructured":"Chillotti, I., Gama, N., Georgieva, M., Izabach\u00e8ne, M.: TFHE: fast fully homomorphic encryption over the torus. J. Cryptol. 33(1), 34\u201391 (2020)","journal-title":"J. Cryptol."},{"key":"11_CR6","unstructured":"DeMicheli, G., Kim, D., Micciancio, D., Suhl, A.: Faster amortized fhew bootstrapping using ring automorphisms. Cryptology ePrint Archive, Paper 2023\/112 (2023). https:\/\/eprint.iacr.org\/2023\/112"},{"key":"11_CR7","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":"11_CR8","unstructured":"Gentry, C.: A fully homomorphic encryption scheme. Stanford university (2009)"},{"key":"11_CR9","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. 7237, pp. 465\u2013482. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-29011-4_28"},{"key":"11_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). https:\/\/doi.org\/10.1007\/978-3-642-32009-5_49"},{"key":"11_CR11","doi-asserted-by":"publisher","unstructured":"Guimar\u00e3es, A., Pereira, H.V.L., van Leeuwen, B.: Amortized bootstrapping revisited: simpler, asymptotically-faster, implemented. In: Guo, J., Steinfeld, R. (eds.) Advances in Cryptology \u2013 ASIACRYPT 2023. ASIACRYPT 2023. LNCS, vol. 14443, pp. 3\u201335. Springer, Singapore (2023). https:\/\/doi.org\/10.1007\/978-981-99-8736-8_1","DOI":"10.1007\/978-981-99-8736-8_1"},{"key":"11_CR12","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). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_31"},{"key":"11_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1007\/978-3-319-96884-1_4","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"S Halevi","year":"2018","unstructured":"Halevi, S., Shoup, V.: Faster homomorphic linear transformations in HElib. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018. LNCS, vol. 10991, pp. 93\u2013120. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96884-1_4"},{"key":"11_CR14","doi-asserted-by":"crossref","unstructured":"Kim, A., et al.: General bootstrapping approach for RLWE-based homomorphic encryption. IEEE Trans. Comput. (2023)","DOI":"10.1109\/TC.2023.3318405"},{"key":"11_CR15","doi-asserted-by":"crossref","unstructured":"Lee, Y., et al.: Efficient FHEW bootstrapping with small evaluation keys, and applications to threshold homomorphic encryption. Cryptology ePrint Archive (2022)","DOI":"10.1007\/978-3-031-30620-4_8"},{"key":"11_CR16","doi-asserted-by":"publisher","unstructured":"Liu, F.H., Wang, H.: Batch bootstrapping I: a new framework for SIMD bootstrapping in polynomial modulus. In: Hazay, C., Stam, M. (eds.) Advances in Cryptology \u2013 EUROCRYPT 2023. EUROCRYPT 2023. LNCS, vol. 14006, pp. 321\u2013352. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-30620-4_11","DOI":"10.1007\/978-3-031-30620-4_11"},{"key":"11_CR17","doi-asserted-by":"publisher","unstructured":"Liu, F.H., Wang, H.: Batch bootstrapping II: bootstrapping in polynomial modulus only requires $$\\widetilde{O}$$(1) FHE multiplications in amortization. In: Hazay, C., Stam, M. (eds.) Advances in Cryptology \u2013 EUROCRYPT 2023. EUROCRYPT 2023. LNCS, vol. 14006, pp. 353\u2013384. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-30620-4_12","DOI":"10.1007\/978-3-031-30620-4_12"},{"key":"11_CR18","doi-asserted-by":"publisher","unstructured":"Liu, Z., Wang, Y.: Amortized functional bootstrapping in less than 7 ms, with $$\\widetilde{O}$$(1) polynomial multiplications. In: Guo, J., Steinfeld, R. (eds.) Advances in Cryptology \u2013 ASIACRYPT 2023. ASIACRYPT 2023. LNCS, vol. 14443, pp. 101\u2013132. Springer, Singapore (2023). https:\/\/doi.org\/10.1007\/978-981-99-8736-8_4","DOI":"10.1007\/978-981-99-8736-8_4"},{"key":"11_CR19","doi-asserted-by":"publisher","unstructured":"Lyubashevsky, V., Peikert, C., Regev, O.: On ideal lattices and learning with errors over rings. J. ACM 60(6), 43:1\u201343:35 (2013). https:\/\/doi.org\/10.1145\/2535925","DOI":"10.1145\/2535925"},{"key":"11_CR20","doi-asserted-by":"crossref","unstructured":"Micciancio, D., Polyakov, Y.: Bootstrapping in FHEW-like cryptosystems. In: Proceedings of the 9th on Workshop on Encrypted Computing & Applied Homomorphic Cryptography, pp. 17\u201328 (2021)","DOI":"10.1145\/3474366.3486924"},{"key":"11_CR21","doi-asserted-by":"publisher","unstructured":"Micciancio, D., Sorrell, J.: Ring packing and amortized FHEW bootstrapping. In: Chatzigiannakis, I., Kaklamanis, C., Marx, D., Sannella, D. (eds.) 45th International Colloquium on Automata, Languages, and Programming, ICALP 2018, 9\u201313 July 2018, Prague, Czech Republic. 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":"11_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1007\/978-3-642-10366-7_36","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2009","author":"D Stehl\u00e9","year":"2009","unstructured":"Stehl\u00e9, D., Steinfeld, R., Tanaka, K., Xagawa, K.: Efficient public key encryption based on ideal lattices. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 617\u2013635. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/978-3-642-10366-7_36"}],"container-title":["Lecture Notes in Computer Science","Public-Key Cryptography \u2013 PKC 2024"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-57728-4_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,13]],"date-time":"2024-04-13T23:53:52Z","timestamp":1713052432000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-57728-4_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031577277","9783031577284"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-57728-4_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"14 April 2024","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 Conference on Public-Key Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Sydney, NSW","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Australia","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 April 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 April 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"27","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pkc2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}