{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:45:42Z","timestamp":1751874342468,"version":"3.28.0"},"reference-count":22,"publisher":"IEEE Comput. Soc","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1109\/arith.2003.1207672","type":"proceedings-article","created":{"date-parts":[[2004,3,22]],"date-time":"2004-03-22T09:34:28Z","timestamp":1079948068000},"page":"142-147","source":"Crossref","is-referenced-by-count":10,"title":["Worst cases and lattice reduction"],"prefix":"10.1109","author":[{"given":"D.","family":"Stehle","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Lefevre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Zimmermann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","first-page":"3","article-title":"A note on finding difficult values to evaluate numerically","author":"gonnet","year":"2002"},{"key":"ref11","first-page":"18","article-title":"IEEE standard for binary floating-point arithmetic","year":"1985","journal-title":"Technical Report ANSI-IEEE Standard 754-1985"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.1999.762849"},{"key":"ref13","first-page":"4","article-title":"A test for correctly rounded SQRT","author":"kahan","year":"1996","journal-title":"Lecture note University of California at Berkeley"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.2001.930099"},{"key":"ref15","article-title":"Th&#x00E8;se de doctorat, Ecole Normale Sup&#x00E9;rieure de Lyon","author":"lef\u00e8vre","year":"2000","journal-title":"Moyens Arithm&#x00E9;tiques Pour un Calcul Fiable"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.2001.930110"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01457454"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970203"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.2001.930111"},{"key":"ref4","first-page":"178","article-title":"Finding a small root of a bivariate integer equation; factoring with high bits known","volume":"1070","author":"coppersmith","year":"1996","journal-title":"Proc Eurocrypt 96"},{"key":"ref3","first-page":"326","article-title":"Factoring n = pr q for large r","author":"boneh","year":"1999","journal-title":"Proceedings of Eurocrypt'99 volume 1592 of Lecture Notes in Computer Science"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-44670-2_3"},{"key":"ref5","first-page":"155","article-title":"Finding a small root of a univariate modular equation","volume":"1070","author":"coppersmith","year":"1996","journal-title":"Proc Eurocrypt 96"},{"key":"ref8","first-page":"21","article-title":"Correctly rounded exponential function in double precision arithmetic","author":"defour","year":"0","journal-title":"Research Report 2001-26 Laboratoire de l'Informatique du Parall&#x00E9;lisme 2001"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1142\/9789812777171_0004"},{"key":"ref2","first-page":"1","article-title":"Cryptanalysis of RSA with private key d less than n0.292","volume":"1592","author":"boneh","year":"1999","journal-title":"Proceedings of Eurocrypt'99"},{"journal-title":"User's Guide to PARI\/GP 2000","year":"0","author":"batut","key":"ref1"},{"key":"ref9","first-page":"33","article-title":"Rational points near curves and small nonzero |x3- y2| via lattice reduction","volume":"1838","author":"elkies","year":"2000","journal-title":"Proc of ANTS IV"},{"key":"ref20","first-page":"54","article-title":"Proposals for a specification of the elementary functions","author":"muller","year":"2002","journal-title":"Abstracts of SCAN'2002"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1145\/114697.116813"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.1999.762850"}],"event":{"name":"16th IEEE Symposium on Computer Arithmetic","acronym":"ARITH-03","location":"Santiago de Compostela, Spain"},"container-title":["16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings."],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/8582\/27181\/01207672.pdf?arnumber=1207672","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,13]],"date-time":"2017-03-13T13:39:55Z","timestamp":1489412395000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/1207672\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"references-count":22,"URL":"https:\/\/doi.org\/10.1109\/arith.2003.1207672","relation":{},"subject":[]}}