{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T07:43:14Z","timestamp":1767339794874,"version":"3.40.3"},"publisher-location":"Singapore","reference-count":20,"publisher":"Springer Nature Singapore","isbn-type":[{"type":"print","value":"9789819750245"},{"type":"electronic","value":"9789819750252"}],"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\/978-981-97-5025-2_8","type":"book-chapter","created":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T04:01:54Z","timestamp":1721016114000},"page":"141-160","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["NTRU-Based FHE for\u00a0Larger Key and\u00a0Message Space"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5997-9992","authenticated-orcid":false,"given":"Robin","family":"Jadoul","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4598-8265","authenticated-orcid":false,"given":"Axel","family":"Mertens","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0557-3540","authenticated-orcid":false,"given":"Jeongeun","family":"Park","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1303-3760","authenticated-orcid":false,"given":"Hilder V. L.","family":"Pereira","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,7,16]]},"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":"LNCS","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1007\/978-3-031-22966-4_7","volume-title":"ASIACRYPT 2022, Part II","author":"C Bonte","year":"2022","unstructured":"Bonte, C., Iliashenko, I., Park, J., Pereira, H.V.L., Smart, N.P.: FINAL: faster FHE instantiated with NTRU and LWE. In: Agrawal, S., Lin, D. (eds.) ASIACRYPT 2022, Part II. LNCS, vol. 13792, pp. 188\u2013215. Springer, Heidelberg (2022). https:\/\/doi.org\/10.1007\/978-3-031-22966-4_7"},{"key":"8_CR3","doi-asserted-by":"publisher","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V.: (Leveled) fully homomorphic encryption without bootstrapping. In: Goldwasser, S. (ed.) ITCS 2012, pp. 309\u2013325. ACM, January 2012. https:\/\/doi.org\/10.1145\/2090236.2090262","DOI":"10.1145\/2090236.2090262"},{"key":"8_CR4","doi-asserted-by":"publisher","unstructured":"Brakerski, Z., Vaikuntanathan, V.: Efficient fully homomorphic encryption from (standard) LWE. In: Ostrovsky, R. (ed.) 52nd FOCS, pp. 97\u2013106. IEEE Computer Society Press, October 2011. https:\/\/doi.org\/10.1109\/FOCS.2011.12","DOI":"10.1109\/FOCS.2011.12"},{"key":"8_CR5","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_CR6","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_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-030-78086-9_1","volume-title":"Cyber Security Cryptography and Machine Learning","author":"I Chillotti","year":"2021","unstructured":"Chillotti, I., Joye, M., Paillier, P.: Programmable bootstrapping enables efficient homomorphic inference of deep neural networks. In: Dolev, S., Margalit, O., Pinkas, B., Schwarzmann, A. (eds.) CSCML 2021. LNCS, vol. 12716, pp. 1\u201319. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-78086-9_1"},{"key":"8_CR8","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_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-030-92068-5_1","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2021","author":"L Ducas","year":"2021","unstructured":"Ducas, L., van Woerden, W.: NTRU fatigue: how stretched is overstretched? In: Tibouchi, M., Wang, H. (eds.) ASIACRYPT 2021. LNCS, vol. 13093, pp. 3\u201332. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-92068-5_1"},{"key":"8_CR10","series-title":"LNCS","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/978-3-031-30620-4_9","volume-title":"EUROCRYPT 2023, Part III","author":"R Geelen","year":"2023","unstructured":"Geelen, R., Iliashenko, I., Kang, J., Vercauteren, F.: On polynomial functions modulo $$p^e$$ and faster bootstrapping for homomorphic encryption. In: Hazay, C., Stam, M. (eds.) EUROCRYPT 2023, Part III. LNCS, vol. 14006, pp. 257\u2013286. Springer, Heidelberg (2023). https:\/\/doi.org\/10.1007\/978-3-031-30620-4_9"},{"key":"8_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1007\/978-3-030-17656-3_23","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2019","author":"N Genise","year":"2019","unstructured":"Genise, N., Micciancio, D., Polyakov, Y.: Building an efficient lattice gadget toolkit: subgaussian sampling and more. In: Ishai, Y., Rijmen, V. (eds.) EUROCRYPT 2019. LNCS, vol. 11477, pp. 655\u2013684. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-17656-3_23"},{"key":"8_CR12","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"},{"issue":"1","key":"8_CR13","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/s00145-020-09368-7","volume":"34","author":"S Halevi","year":"2021","unstructured":"Halevi, S., Shoup, V.: Bootstrapping for HElib. J. Cryptol. 34(1), 7 (2021). https:\/\/doi.org\/10.1007\/s00145-020-09368-7","journal-title":"J. Cryptol."},{"key":"8_CR14","doi-asserted-by":"publisher","first-page":"17429","DOI":"10.1109\/ACCESS.2021.3053288","volume":"9","author":"S Jeon","year":"2021","unstructured":"Jeon, S., Lee, H.S., Park, J.: Efficient lattice gadget decomposition algorithm with bounded uniform distribution. IEEE Access 9, 17429\u201317437 (2021). https:\/\/doi.org\/10.1109\/ACCESS.2021.3053288","journal-title":"IEEE Access"},{"key":"8_CR15","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1007\/978-3-031-50594-2_18","volume-title":"Computer Security - ESORICS 2023","author":"S Jeon","year":"2023","unstructured":"Jeon, S., Lee, H.S., Park, J.: Practical randomized lattice gadget decomposition with application to FHE. In: Tsudik, G., Conti, M., Liang, K., Smaragdakis, G. (eds.) Computer Security - ESORICS 2023, pp. 353\u2013371. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-50594-2_18"},{"key":"8_CR16","unstructured":"Joye, M.: On NTRU-$$\\nu $$-um modulo $${X}^{N} - 1$$. Cryptology ePrint Archive, Report 2022\/1092 (2022). https:\/\/eprint.iacr.org\/2022\/1092"},{"key":"8_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-031-07689-3_1","volume-title":"CSCML 2022","author":"M Joye","year":"2022","unstructured":"Joye, M., Paillier, P.: Blind rotation in fully homomorphic encryption with extended keys. In: Dolev, S., Katz, J., Meisels, A. (eds.) CSCML 2022, vol. 13301, pp. 1\u201318. Springer, Cham (2022). https:\/\/doi.org\/10.1007\/978-3-031-07689-3_1"},{"key":"8_CR18","doi-asserted-by":"publisher","unstructured":"Kluczniak, K.: NTRU-v-um: secure fully homomorphic encryption from NTRU with small modulus. In: Yin, H., Stavrou, A., Cremers, C., Shi, E. (eds.) ACM CCS 2022, pp. 1783\u20131797. ACM Press, November 2022. https:\/\/doi.org\/10.1145\/3548606.3560700","DOI":"10.1145\/3548606.3560700"},{"key":"8_CR19","series-title":"LNCS","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/978-3-031-30620-4_8","volume-title":"EUROCRYPT 2023, Part III","author":"Y Lee","year":"2023","unstructured":"Lee, Y., Micciancio, D., Kim, A., Choi, R., Deryabin, M., Eom, J., Yoo, D.: Efficient FHEW bootstrapping with small evaluation keys, and applications to threshold homomorphic encryption. In: Hazay, C., Stam, M. (eds.) EUROCRYPT 2023, Part III. LNCS, vol. 14006, pp. 227\u2013256. Springer, Heidelberg (2023). https:\/\/doi.org\/10.1007\/978-3-031-30620-4_8"},{"key":"8_CR20","series-title":"LNCS","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-031-38551-3_1","volume-title":"CRYPTO 2023, Part IV","author":"B Xiang","year":"2023","unstructured":"Xiang, B., Zhang, J., Deng, Y., Dai, Y., Feng, D.: Fast blind rotation for bootstrapping FHEs. In: Handschuh, H., Lysyanskaya, A. (eds.) CRYPTO 2023, Part IV. LNCS, vol. 14084, pp. 3\u201336. Springer, Heidelberg (2023). https:\/\/doi.org\/10.1007\/978-3-031-38551-3_1"}],"container-title":["Lecture Notes in Computer Science","Information Security and Privacy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-97-5025-2_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T04:02:21Z","timestamp":1721016141000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-97-5025-2_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9789819750245","9789819750252"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-981-97-5025-2_8","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":"16 July 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ACISP","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Australasian Conference on Information Security and Privacy","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 July 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 July 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"acisp2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.acisp24.com\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}