{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T15:00:24Z","timestamp":1786978824517,"version":"build-2736575974"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030401856","type":"print"},{"value":"9783030401863","type":"electronic"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"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":[[2020]]},"DOI":"10.1007\/978-3-030-40186-3_12","type":"book-chapter","created":{"date-parts":[[2020,2,13]],"date-time":"2020-02-13T19:03:52Z","timestamp":1581620632000},"page":"254-283","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Overdrive2k: Efficient Secure MPC over $$\\mathbb {Z}_{2^k}$$ from Somewhat Homomorphic Encryption"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1917-1833","authenticated-orcid":false,"given":"Emmanuela","family":"Orsini","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3567-3304","authenticated-orcid":false,"given":"Nigel P.","family":"Smart","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7208-9599","authenticated-orcid":false,"given":"Frederik","family":"Vercauteren","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,2,14]]},"reference":[{"key":"12_CR1","unstructured":"Aly, A., et al.: SCALE-MAMBA v1.6: Documentation (2019). https:\/\/homes.esat.kuleuven.be\/~nsmart\/SCALE\/Documentation.pdf"},{"key":"12_CR2","unstructured":"Baum, C., Cozzo, D., Smart, N.P.: Using TopGear in Overdrive: a more efficient ZKPoK for SPDZ. Cryptology ePrint Archive, Report 2019\/035 (2019). http:\/\/eprint.iacr.org\/2019\/035"},{"key":"12_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/3-540-46766-1_31","volume-title":"Advances in Cryptology \u2014 CRYPTO 1991","author":"D Beaver","year":"1992","unstructured":"Beaver, D.: Foundations of secure interactive computing. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 377\u2013391. Springer, Heidelberg (1992). https:\/\/doi.org\/10.1007\/3-540-46766-1_31"},{"key":"12_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/978-3-642-20465-4_11","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2011","author":"R Bendlin","year":"2011","unstructured":"Bendlin, R., Damg\u00e5rd, I., Orlandi, C., Zakarias, S.: Semi-homomorphic encryption and multiparty computation. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 169\u2013188. Springer, Heidelberg (2011). https:\/\/doi.org\/10.1007\/978-3-642-20465-4_11"},{"key":"12_CR5","first-page":"309","volume-title":"ITCS 2012","author":"Z Brakerski","year":"2012","unstructured":"Brakerski, Z., Gentry, C., Vaikuntanathan, V.: (Leveled) fully homomorphic encryption without bootstrapping. In: Goldwasser, S. (ed.) ITCS 2012, pp. 309\u2013325. ACM, New York (2012)"},{"key":"12_CR6","doi-asserted-by":"crossref","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","DOI":"10.1109\/FOCS.2011.12"},{"key":"12_CR7","doi-asserted-by":"crossref","unstructured":"Canetti, R.: Universally composable security: a new paradigm for cryptographic protocols. In: 42nd FOCS, pp. 136\u2013145. IEEE Computer Society Press, October 2001","DOI":"10.1109\/SFCS.2001.959888"},{"key":"12_CR8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139171885","volume-title":"Local Fields","author":"JW Cassels","year":"1986","unstructured":"Cassels, J.W.: Local Fields. Cambridge University Press, Cambridge (1986)"},{"key":"12_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1007\/978-3-642-03356-8_11","volume-title":"Advances in Cryptology \u2013 CRYPTO 2009","author":"R Cramer","year":"2009","unstructured":"Cramer, R., Damg\u00e5rd, I.: On the amortized complexity of zero-knowledge protocols. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 177\u2013191. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/978-3-642-03356-8_11"},{"key":"12_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"769","DOI":"10.1007\/978-3-319-96881-0_26","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"R Cramer","year":"2018","unstructured":"Cramer, R., Damg\u00e5rd, I., Escudero, D., Scholl, P., Xing, C.: SPD$$\\mathbb{Z}_{2^k}$$: efficient MPC mod $$2^k$$ for dishonest majority. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018, Part II. LNCS, vol. 10992, pp. 769\u2013798. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96881-0_26"},{"key":"12_CR11","doi-asserted-by":"crossref","unstructured":"Damg\u00e5rd, I., Escudero, D., Frederiksen, T.K., Keller, M., Scholl, P., Volgushev, N.: New primitives for actively-secure MPC over rings with applications to private machine learning. In: 2019 IEEE Symposium on Security and Privacy, pp. 1102\u20131120. IEEE Computer Society Press, May 2019","DOI":"10.1109\/SP.2019.00078"},{"key":"12_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-40203-6_1","volume-title":"Computer Security \u2013 ESORICS 2013","author":"I Damg\u00e5rd","year":"2013","unstructured":"Damg\u00e5rd, I., Keller, M., Larraia, E., Pastro, V., Scholl, P., Smart, N.P.: Practical covertly secure MPC for dishonest majority \u2013 or: breaking the SPDZ limits. In: Crampton, J., Jajodia, S., Mayes, K. (eds.) ESORICS 2013. LNCS, vol. 8134, pp. 1\u201318. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-40203-6_1"},{"key":"12_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"643","DOI":"10.1007\/978-3-642-32009-5_38","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"I Damg\u00e5rd","year":"2012","unstructured":"Damg\u00e5rd, I., Pastro, V., Smart, N., Zakarias, S.: Multiparty computation from somewhat homomorphic encryption. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 643\u2013662. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-32009-5_38"},{"key":"12_CR14","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. 7293, pp. 1\u201316. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-30057-8_1"},{"key":"12_CR15","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":"12_CR16","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":"12_CR17","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, Part I. LNCS, vol. 8616, pp. 554\u2013571. Springer, Heidelberg (2014). https:\/\/doi.org\/10.1007\/978-3-662-44371-2_31"},{"key":"12_CR18","first-page":"830","volume-title":"ACM CCS 2016","author":"M Keller","year":"2016","unstructured":"Keller, M., Orsini, E., Scholl, P.: MASCOT: faster malicious arithmetic secure computation with oblivious transfer. In: Weippl, E.R., Katzenbeisser, S., Kruegel, C., Myers, A.C., Halevi, S. (eds.) ACM CCS 2016, pp. 830\u2013842. ACM Press, New York (2016)"},{"key":"12_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1007\/978-3-319-78372-7_6","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2018","author":"M Keller","year":"2018","unstructured":"Keller, M., Pastro, V., Rotaru, D.: Overdrive: making SPDZ great again. In: Nielsen, J.B., Rijmen, V. (eds.) EUROCRYPT 2018, Part III. LNCS, vol. 10822, pp. 158\u2013189. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-78372-7_6"},{"key":"12_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1007\/978-3-642-32009-5_40","volume-title":"Advances in Cryptology \u2013 CRYPTO 2012","author":"JB Nielsen","year":"2012","unstructured":"Nielsen, J.B., Nordholt, P.S., Orlandi, C., Burra, S.S.: A new approach to practical active-secure two-party computation. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 681\u2013700. Springer, Heidelberg (2012). https:\/\/doi.org\/10.1007\/978-3-642-32009-5_40"},{"issue":"1","key":"12_CR21","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s10623-012-9720-4","volume":"71","author":"NP Smart","year":"2014","unstructured":"Smart, N.P., Vercauteren, F.: Fully homomorphic SIMD operations. Des. Codes Crypt. 71(1), 57\u201381 (2014)","journal-title":"Des. Codes Crypt."}],"container-title":["Lecture Notes in Computer Science","Topics in Cryptology \u2013 CT-RSA 2020"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-40186-3_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T14:45:56Z","timestamp":1710254756000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-40186-3_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030401856","9783030401863"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-40186-3_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"14 February 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CT-RSA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cryptographers\u2019 Track at the RSA Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"San Francisco, CA","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 February 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 February 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ctrsa2020","order":10,"name":"conference_id","label":"Conference ID","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":"secure.iacr.org\/websubrev","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"95","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":"28","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":"0","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":"3,25","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":"9","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":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}