{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T01:57:37Z","timestamp":1774490257166,"version":"3.50.1"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030992767","type":"print"},{"value":"9783030992774","type":"electronic"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"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":[[2022]]},"DOI":"10.1007\/978-3-030-99277-4_7","type":"book-chapter","created":{"date-parts":[[2022,3,26]],"date-time":"2022-03-26T17:12:16Z","timestamp":1648314736000},"page":"131-151","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["MPC for $$\\mathcal {Q}_2$$ Access Structures over Rings and Fields"],"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\/0000-0003-3567-3304","authenticated-orcid":false,"given":"Nigel P.","family":"Smart","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3792-4042","authenticated-orcid":false,"given":"Barry","family":"Van Leeuwen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,3,27]]},"reference":[{"key":"7_CR1","doi-asserted-by":"crossref","unstructured":"Abspoel, M., et al.: Asymptotically good multiplicative LSSS over Galois rings and applications to MPC over $$\\mathbb{Z}\/p^k\\mathbb{Z}$$. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020, Part III. LNCS, vol. 12493, pp. 151\u2013180. Springer, Heidelberg, December 2020","DOI":"10.1007\/978-3-030-64840-4_6"},{"key":"7_CR2","unstructured":"Abspoel, M., Dalskov, A., Escudero, D., Nof, A.: An efficient passive-to-active compiler for honest-majority MPC over rings. Cryptology ePrint Archive, Report 2019\/1298 (2019). https:\/\/eprint.iacr.org\/2019\/1298"},{"key":"7_CR3","doi-asserted-by":"crossref","unstructured":"Araki, T., et al.: Optimized honest-majority MPC for malicious adversaries - breaking the 1 billion-gate per second barrier. In: 2017 IEEE Symposium on Security and Privacy, pp. 843\u2013862. IEEE Computer Society Press, May 2017","DOI":"10.1109\/SP.2017.15"},{"key":"7_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1007\/978-3-540-88313-5_13","volume-title":"Computer Security - ESORICS 2008","author":"D Bogdanov","year":"2008","unstructured":"Bogdanov, D., Laur, S., Willemson, J.: Sharemind: a framework for fast privacy-preserving computations. In: Jajodia, S., Lopez, J. (eds.) ESORICS 2008. LNCS, vol. 5283, pp. 192\u2013206. Springer, Heidelberg (2008). https:\/\/doi.org\/10.1007\/978-3-540-88313-5_13"},{"key":"7_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/978-3-319-96878-0_2","volume-title":"Advances in Cryptology \u2013 CRYPTO 2018","author":"K Chida","year":"2018","unstructured":"Chida, K., et al.: Fast large-scale honest-majority MPC for malicious adversaries. In: Shacham, H., Boldyreva, A. (eds.) CRYPTO 2018. LNCS, vol. 10993, pp. 34\u201364. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96878-0_2"},{"key":"7_CR6","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. LNCS, vol. 10992, pp. 769\u2013798. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96881-0_26"},{"key":"7_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"316","DOI":"10.1007\/3-540-45539-6_22","volume-title":"Advances in Cryptology \u2014 EUROCRYPT 2000","author":"R Cramer","year":"2000","unstructured":"Cramer, R., Damg\u00e5rd, I., Maurer, U.: General secure multi-party computation from any linear secret-sharing scheme. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 316\u2013334. Springer, Heidelberg (2000). https:\/\/doi.org\/10.1007\/3-540-45539-6_22"},{"key":"7_CR8","unstructured":"Cramer, R., Rambaud, M., Xing, C.: Asymptotically-good arithmetic secret sharing over $${Z}\/(p^\\ell {Z})$$ with strong multiplication and its applications to efficient MPC. Cryptology ePrint Archive, Report 2019\/832 (2019). https:\/\/eprint.iacr.org\/2019\/832"},{"key":"7_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"572","DOI":"10.1007\/978-3-540-74143-5_32","volume-title":"Advances in Cryptology - CRYPTO 2007","author":"I Damg\u00e5rd","year":"2007","unstructured":"Damg\u00e5rd, I., Nielsen, J.B.: Scalable and unconditionally secure multiparty computation. In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 572\u2013590. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-74143-5_32"},{"key":"7_CR10","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":"7_CR11","unstructured":"Eerikson, H., Keller, M., Orlandi, C., Pullonen, P., Puura, J., Simkin, M.: Use your brain! Arithmetic 3PC for any modulus with active security. In: Kalai, Y.T., Smith, A.D., Wichs, D. (eds.) ITC 2020, pp. 5:1\u20135:24. Schloss Dagstuhl, June 2020"},{"key":"7_CR12","unstructured":"Fehr, S.: Span programs over rings and how to share a secret from a module (1998), MSc Thesis, ETH Zurich"},{"key":"7_CR13","doi-asserted-by":"crossref","unstructured":"Keller, M.: MP-SPDZ: A versatile framework for multi-party computation. In: Ligatti, J., Ou, X., Katz, J., Vigna, G. (eds.) ACM CCS 20, pp. 1575\u20131590. ACM Press, November 2020","DOI":"10.1145\/3372297.3417872"},{"key":"7_CR14","doi-asserted-by":"crossref","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, October 2016","DOI":"10.1145\/2976749.2978357"},{"key":"7_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1007\/978-3-319-98113-0_10","volume-title":"Security and Cryptography for Networks","author":"M Keller","year":"2018","unstructured":"Keller, M., Rotaru, D., Smart, N.P., Wood, T.: Reducing communication channels in MPC. In: Catalano, D., De Prisco, R. (eds.) SCN 2018. LNCS, vol. 11035, pp. 181\u2013199. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-98113-0_10"},{"issue":"2","key":"7_CR16","doi-asserted-by":"publisher","first-page":"370","DOI":"10.1016\/j.dam.2005.03.020","volume":"154","author":"UM Maurer","year":"2006","unstructured":"Maurer, U.M.: Secure multi-party computation made simple. Discr. Appl. Math. 154(2), 370\u2013381 (2006)","journal-title":"Discr. Appl. Math."},{"key":"7_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1007\/978-3-030-12612-4_11","volume-title":"Topics in Cryptology \u2013 CT-RSA 2019","author":"NP Smart","year":"2019","unstructured":"Smart, N.P., Wood, T.: Error detection in monotone span programs with application to communication-efficient multi-party computation. In: Matsui, M. (ed.) CT-RSA 2019. LNCS, vol. 11405, pp. 210\u2013229. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-12612-4_11"}],"container-title":["Lecture Notes in Computer Science","Selected Areas in Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-99277-4_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T01:04:06Z","timestamp":1774487046000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-99277-4_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783030992767","9783030992774"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-99277-4_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"27 March 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SAC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Selected Areas in Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29 September 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 October 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"sacrypt2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.sac2021.ca\/","order":11,"name":"conference_url","label":"Conference URL","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":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"60","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":"23","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":"38% - 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","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":"6","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":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Papers authored by PC members underwent 5 reviews.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}