{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T10:43:31Z","timestamp":1780915411655,"version":"3.54.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2013,6,11]],"date-time":"2013-06-11T00:00:00Z","timestamp":1370908800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,7,1]]},"abstract":"<jats:title>Abstract.<\/jats:title>\n                  <jats:p>\n                    One of the fundamental problems of multi-party computation is\nOblivious Polynomial Evaluation. In that problem, that was\nintroduced by Naor and Pinkas, Alice has a polynomial\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_d1dd8d48e71d2d649ee382fa700e7157.png\"\/>\n                    and\nBob has a point\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_6379c67e2b47e5a714d1e35885ae7992.png\"\/>\n                    . The goal is to allow Bob to compute\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_ee4f17d1b35af3385f8cd39238a55e3d.png\"\/>\n                    so that Alice remains oblivious of\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_6379c67e2b47e5a714d1e35885ae7992.png\"\/>\n                    and Bob of\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_d1dd8d48e71d2d649ee382fa700e7157.png\"\/>\n                    , apart from what is implied by\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_ee4f17d1b35af3385f8cd39238a55e3d.png\"\/>\n                    and\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_6379c67e2b47e5a714d1e35885ae7992.png\"\/>\n                    .\nWe introduce the multivariate version of this problem, where\n                    <jats:italic>x<\/jats:italic>\n                    and\n                    <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jmc-2012-0007_6379c67e2b47e5a714d1e35885ae7992.png\"\/>\n                    are vectors, and offer an efficient secure protocol.\nIn addition, we discuss several applications that may be solved\nefficiently using oblivious multivariate polynomial evaluation,\nsuch as private linear algebraic computations and private support vector machines (SVM).\n                  <\/jats:p>","DOI":"10.1515\/jmc-2012-0007","type":"journal-article","created":{"date-parts":[[2013,6,11]],"date-time":"2013-06-11T16:05:35Z","timestamp":1370966735000},"page":"1-29","source":"Crossref","is-referenced-by-count":20,"title":["Oblivious evaluation of multivariate polynomials"],"prefix":"10.1515","volume":"7","author":[{"given":"Tamir","family":"Tassa","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, The Open University, Ra'anana, Israel"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ayman","family":"Jarrous","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Haifa University, Israel"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yonatan","family":"Ben-Ya'akov","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, The Open University, Ra'anana, Israel"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2013,6,11]]},"container-title":["Journal of Mathematical Cryptology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/jmc-2012-0007\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/jmc-2012-0007\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T00:24:02Z","timestamp":1764980642000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/jmc-2012-0007\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6,11]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2013,6,11]]},"published-print":{"date-parts":[[2013,7,1]]}},"alternative-id":["10.1515\/jmc-2012-0007"],"URL":"https:\/\/doi.org\/10.1515\/jmc-2012-0007","relation":{},"ISSN":["1862-2984","1862-2976"],"issn-type":[{"value":"1862-2984","type":"electronic"},{"value":"1862-2976","type":"print"}],"subject":[],"published":{"date-parts":[[2013,6,11]]}}}