{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T04:36:49Z","timestamp":1783744609160,"version":"3.55.0"},"reference-count":4,"publisher":"American Mathematical Society (AMS)","issue":"233","license":[{"start":{"date-parts":[[2001,3,1]],"date-time":"2001-03-01T00:00:00Z","timestamp":983404800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>An exhaustive search for (1023,\u00a0511,\u00a0255)-cyclic difference sets has been conducted. A total of 10 non-equivalent (1023,\u00a0511,\u00a0255)-cyclic difference sets have been found, all of which are members of previously known or conjectured infinite families. A fast and effective autocorrelation test method was utilized that can also facilitate the testing of longer sequences.<\/p>","DOI":"10.1090\/s0025-5718-00-01196-0","type":"journal-article","created":{"date-parts":[[2005,7,11]],"date-time":"2005-07-11T17:02:26Z","timestamp":1121101346000},"page":"357-366","source":"Crossref","is-referenced-by-count":6,"title":["Exhaustive determination of (1023, 511, 255)-cyclic difference sets"],"prefix":"10.1090","volume":"70","author":[{"given":"Peter","family":"Gaal","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Solomon","family":"Golomb","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2000,3,1]]},"reference":[{"key":"1","series-title":"Lecture Notes in Mathematics, Vol. 182","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0061260","volume-title":"Cyclic difference sets","author":"Baumert, Leonard D.","year":"1971"},{"key":"4","doi-asserted-by":"publisher","first-page":"204","DOI":"10.2307\/2004161","article-title":"The cyclotomic numbers of order eighteen with applications to difference sets","volume":"21","author":"Baumert, L. D.","year":"1967","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"2","key":"5","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/0097-3165(83)90001-8","article-title":"Exhaustive construction of (255,127,63)-cyclic difference sets","volume":"35","author":"Cheng, Unjeng","year":"1983","journal-title":"J. Combin. Theory Ser. A","ISSN":"https:\/\/id.crossref.org\/issn\/0097-3165","issn-type":"print"},{"key":"8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1515\/crll.1940.181.1","article-title":"Untersuchungen \u00fcber reinverzweigte Erweiterungen diskret bewerteter perfekter K\u00f6rper","volume":"181","author":"Arf, Cahit","year":"1939","journal-title":"J. Reine Angew. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0075-4102","issn-type":"print"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/2001-70-233\/S0025-5718-00-01196-0\/S0025-5718-00-01196-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/2001-70-233\/S0025-5718-00-01196-0\/S0025-5718-00-01196-0.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:30:51Z","timestamp":1776724251000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2001-70-233\/S0025-5718-00-01196-0\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,3,1]]},"references-count":4,"journal-issue":{"issue":"233","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["S0025-5718-00-01196-0"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-00-01196-0","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[2000,3,1]]}}}