{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:10:47Z","timestamp":1758823847243},"reference-count":18,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1986,1,1]],"date-time":"1986-01-01T00:00:00Z","timestamp":504921600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":10059,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Theory, Series A"],"published-print":{"date-parts":[[1986,1]]},"DOI":"10.1016\/0097-3165(86)90119-6","type":"journal-article","created":{"date-parts":[[2004,10,5]],"date-time":"2004-10-05T15:09:06Z","timestamp":1096988946000},"page":"117-138","source":"Crossref","is-referenced-by-count":35,"title":["Covering triples by quadruples: An asymptotic solution"],"prefix":"10.1016","volume":"41","author":[{"given":"A.","family":"Hartman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"W.H.","family":"Mills","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.C.","family":"Mullin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0097-3165(86)90119-6_BIB1","doi-asserted-by":"crossref","first-page":"189","DOI":"10.4153\/CJM-1960-016-5","article-title":"Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture","volume":"12","author":"Bose","year":"1960","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB2","series-title":"Packing and Covering in Combinatorics","first-page":"89","article-title":"Packing and covering of (tk)-sets","author":"Brouwer","year":"1979"},{"key":"10.1016\/0097-3165(86)90119-6_BIB3","doi-asserted-by":"crossref","first-page":"356","DOI":"10.4153\/CJM-1961-031-7","article-title":"Orthomorphisms of groups and orthogonal Latin squares","volume":"13","author":"Dulmage","year":"1961","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB4","doi-asserted-by":"crossref","first-page":"145","DOI":"10.4153\/CJM-1960-013-3","article-title":"On quadruple systems","volume":"12","author":"Hanani","year":"1960","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB5","doi-asserted-by":"crossref","first-page":"702","DOI":"10.4153\/CJM-1963-069-5","article-title":"On some tactical configurations","volume":"15","author":"Hanani","year":"1963","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB6","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0012-365X(75)90040-0","article-title":"Balanced incomplete block designs and related designs","volume":"11","author":"Hanani","year":"1975","journal-title":"Discrete Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB7","doi-asserted-by":"crossref","first-page":"33","DOI":"10.2307\/2689380","article-title":"Calculations for Bertrand's Postulate","volume":"54","author":"Harborth","year":"1981","journal-title":"Math. Mag."},{"key":"10.1016\/0097-3165(86)90119-6_BIB8","first-page":"255","article-title":"Tripling quadruple systems","volume":"10","author":"Hartman","year":"1980","journal-title":"Ars Combin."},{"key":"10.1016\/0097-3165(86)90119-6_BIB9","first-page":"19","article-title":"Kirkman's trombone player problem","volume":"10","author":"Hartman","year":"1980","journal-title":"Ars Combin."},{"key":"10.1016\/0097-3165(86)90119-6_BIB10","doi-asserted-by":"crossref","unstructured":"A. Hartman, A general recursive construction for quadruple systems, J. Combin. Theory Ser. A, in press.","DOI":"10.1016\/0097-3165(82)90001-2"},{"key":"10.1016\/0097-3165(86)90119-6_BIB11","series-title":"Proceedings, Fifth S. E. Conf. on Combin. Graph Th. and Comp., Boca Raton, Fla., 1974","first-page":"573","article-title":"On the covering of triples by quadruples","author":"Mills","year":"1974"},{"key":"10.1016\/0097-3165(86)90119-6_BIB12","first-page":"199","article-title":"Covering Designs I: Coverings by a small number of subsets","volume":"8","author":"Mills","year":"1979","journal-title":"Ars Combin."},{"key":"10.1016\/0097-3165(86)90119-6_BIB13","series-title":"Proceedings, Twelfth S. E. Conf. on Combin. Graph Th. and Comp., Baton Rouge, 1980","first-page":"253","article-title":"A covering of triples by quadruples","author":"Mills","year":"1981"},{"key":"10.1016\/0097-3165(86)90119-6_BIB14","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/0012-365X(81)90142-4","article-title":"On the existence of frames","volume":"37","author":"Mullin","year":"1981","journal-title":"Discrete Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB15","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.2140\/pjm.1964.14.1405","article-title":"On coverings","volume":"14","author":"Schoenheim","year":"1964","journal-title":"Pacific J. Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB16","first-page":"109","article-title":"Steiner triple systems with given subspaces, another proof of the Doyen-Wilson Theorem","volume":"17-A","author":"Stern","year":"1980","journal-title":"Boll. Un. Mat. Ital. (5)"},{"key":"10.1016\/0097-3165(86)90119-6_BIB17","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/0012-365X(81)90261-2","article-title":"A general construction for group divisible designs","volume":"33","author":"Stinson","year":"1981","journal-title":"Discrete Math."},{"key":"10.1016\/0097-3165(86)90119-6_BIB18","series-title":"Combinatorics I: Theory of Designs, Finite Geometry and Coding Theory","article-title":"Construction and uses of pairwise balanced designs","author":"Wilson","year":"1974"}],"container-title":["Journal of Combinatorial Theory, Series A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316586901196?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316586901196?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,2,3]],"date-time":"2019-02-03T07:29:08Z","timestamp":1549178948000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0097316586901196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,1]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1986,1]]}},"alternative-id":["0097316586901196"],"URL":"https:\/\/doi.org\/10.1016\/0097-3165(86)90119-6","relation":{},"ISSN":["0097-3165"],"issn-type":[{"value":"0097-3165","type":"print"}],"subject":[],"published":{"date-parts":[[1986,1]]}}}