{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:44:33Z","timestamp":1760784273184,"version":"3.41.0"},"reference-count":3,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T00:00:00Z","timestamp":1495065600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2017,5,18]]},"abstract":"<jats:p>\n            In [3] the following polynomial evaluation problem arises. Let\n            <jats:italic>A<\/jats:italic>\n            be a sparse polynomial with\n            <jats:italic>s<\/jats:italic>\n            terms in\n            <jats:italic>\n              Z\n              <jats:sup>p<\/jats:sup>\n            <\/jats:italic>\n            [\n            <jats:italic>\n              x\n              <jats:sup>0<\/jats:sup>\n              ,x\n              <jats:sup>1<\/jats:sup>\n              ,...,x\n              <jats:sup>n<\/jats:sup>\n            <\/jats:italic>\n            ]. Suppose we seek evaluations of\n            <jats:italic>A<\/jats:italic>\n            into\n            <jats:italic>t<\/jats:italic>\n            bivariate images in\n            <jats:italic>\n              Z\n              <jats:sup>p<\/jats:sup>\n            <\/jats:italic>\n            [\n            <jats:italic>\n              x\n              <jats:sup>0<\/jats:sup>\n              ,x\n              <jats:sup>1<\/jats:sup>\n            <\/jats:italic>\n            ], for some\n            <jats:italic>t<\/jats:italic>\n            \u226a\n            <jats:italic>s<\/jats:italic>\n            . We do not know\n            <jats:italic>a priori<\/jats:italic>\n            the exact number of images\n            <jats:italic>t<\/jats:italic>\n            needed. This will be determined by using a trial value\n            <jats:italic>T<\/jats:italic>\n            for\n            <jats:italic>t<\/jats:italic>\n            , and increasing\n            <jats:italic>T<\/jats:italic>\n            as required.\n          <\/jats:p>","DOI":"10.1145\/3096730.3096732","type":"journal-article","created":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T19:38:45Z","timestamp":1495136325000},"page":"12-14","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Fast parallel multi-point evaluation of sparse polynomials"],"prefix":"10.1145","volume":"51","author":[{"given":"Michael","family":"Monagan","sequence":"first","affiliation":[{"name":"Simon Fraser University, Burnaby, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alan","family":"Wong","sequence":"additional","affiliation":[{"name":"Simon Fraser University, Burnaby, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2017,5,18]]},"reference":[{"volume-title":"Proceedings of ISSAC 2003","year":"2013","author":"Bostan A.","key":"e_1_2_1_1_1"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2012.06.004"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/2930889.2930903"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3096730.3096732","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3096730.3096732","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T03:36:53Z","timestamp":1750217813000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3096730.3096732"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,18]]},"references-count":3,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,5,18]]}},"alternative-id":["10.1145\/3096730.3096732"],"URL":"https:\/\/doi.org\/10.1145\/3096730.3096732","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2017,5,18]]},"assertion":[{"value":"2017-05-18","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}