{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:29:51Z","timestamp":1777645791225,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2010,10]]},"abstract":"<jats:p>We prove some improvements for well-known upper bound of complexity of testing irreducibility of polynomials over finite fields. Also the fast modification of well-known probabilistic algorithm finding a normal bases in special finite fields is presented.<\/jats:p>","DOI":"10.3233\/fi-2010-346","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T23:20:35Z","timestamp":1575328835000},"page":"227-238","source":"Crossref","is-referenced-by-count":0,"title":["Some Remarks on Testing Irreducibility of Polynomials and Normality of Bases in Finite Fields"],"prefix":"10.1177","volume":"104","author":[{"given":"Sergej B.","family":"Gashkov","sequence":"first","affiliation":[{"name":"Department of Mechanics and Mathematics, Moscow State University, Vorobiovy Gory, Moscow, Russia. gashkov@lsili.ru"}]},{"given":"Igor B.","family":"Gashkov","sequence":"additional","affiliation":[{"name":"Faculty of Technology and Science, Department of Mathematics, Karlstads Universitet, Karlstad, Sweden. Igor.Gachkov@kau.se"}]}],"member":"179","published-online":{"date-parts":[[2010,1,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2010-346","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2010-346","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:33:20Z","timestamp":1777444400000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2010-346"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,1]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,10]]}},"alternative-id":["10.3233\/FI-2010-346"],"URL":"https:\/\/doi.org\/10.3233\/fi-2010-346","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1,1]]}}}