{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T21:10:29Z","timestamp":1681161029144},"reference-count":24,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1998,6,1]],"date-time":"1998-06-01T00:00:00Z","timestamp":896659200000},"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":5525,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1998,6]]},"DOI":"10.1016\/s0012-365x(97)00272-0","type":"journal-article","created":{"date-parts":[[2003,5,19]],"date-time":"2003-05-19T16:52:26Z","timestamp":1053363146000},"page":"27-40","source":"Crossref","is-referenced-by-count":1,"title":["Directed covering with block size 5 and index even"],"prefix":"10.1016","volume":"188","author":[{"given":"Ahmed M.","family":"Assaf","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0012-365X(97)00272-0_BIB1","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1016\/0097-3165(91)90064-N","article-title":"Four MOLS of order 28 and 52","volume":"58","author":"Abel","year":"1991","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB2","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/0097-3165(93)90093-N","article-title":"Four MOLS or orders 20, 30, 38 and 44","volume":"64","author":"Abel","year":"1993","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB3","article-title":"Mutually Orthogonal Latin Square","author":"Abel","year":"1996","journal-title":"CRC Handbook of Combinatorial Designs"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB4","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/0097-3165(94)90095-7","article-title":"An application of modified group divisible designs","author":"Assaf","year":"1994","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB5","first-page":"209","article-title":"On covering designs with block size 5 and index 6","volume":"16","author":"Assaf","year":"1994","journal-title":"JCMCC"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB6","first-page":"111","article-title":"On packing designs with block size 5 and index 4","volume":"39","author":"Assaf","year":"1991","journal-title":"Discrete Math."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB7","first-page":"217","article-title":"Directed packing with block size 5 and odd v","volume":"13","author":"Assaf","year":"1996","journal-title":"Australasian J. Of Comb."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB8","doi-asserted-by":"crossref","unstructured":"A.M. Assaf, N. Shalaby, J. Yin, Directed packing and covering designs with block size 4, Discrete Math., submitted.","DOI":"10.1016\/S0012-365X(00)00419-2"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB9","doi-asserted-by":"crossref","unstructured":"A.M. Assaf, On directed packing designs with block size 5 and index 2, Utilitas Math., accepted.","DOI":"10.1007\/BF01397664"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB10","series-title":"Design Theory","author":"Beth","year":"1985"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB11","unstructured":"A.E. Brouwer, The number of mutually orthogonal Latin squares \u2014 a table up to order 10 000, Math. Cent. Report ZW 123\/79."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB12","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1016\/0097-3165(79)90105-5","article-title":"Optimal packings of K4's into Kn's","volume":"26","author":"Brouwer","year":"1979","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB13","first-page":"207","article-title":"Four MOLS of order 26","volume":"19","author":"Colbourn","year":"1995","journal-title":"JCMCC"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB14","first-page":"7","article-title":"The spectrum of PBD ({5,k\u2217},v) for k = 9, 13","volume":"36","author":"Hamel","year":"1993","journal-title":"Ars Combin."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB15","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\/S0012-365X(97)00272-0_BIB16","unstructured":"R.C. Mullin, W.H. Mills, On \u03bb-coverings of pairs by quintuples; v odd, preprint."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB17","first-page":"3","article-title":"On bicovers of pairs by quintuples: v odd, v \u2260 3 (mod 10)","volume":"31","author":"Mullin","year":"1991","journal-title":"Ars Combin."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB18","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/0097-3165(87)90067-7","article-title":"Four pairwise orthogonal Latin squares of order 24","author":"Roth","year":"1987","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB19","first-page":"363","article-title":"On maximal systems of k-tuples","volume":"1","author":"Schonheim","year":"1966","journal-title":"Studia Sci. Math. Hungar."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB20","article-title":"Directed packings and coverings with computer applications","author":"Skillicorn","year":"1981"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB21","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1017\/S1446788700018310","article-title":"Directed packing of pairs by quadruples","volume":"33","author":"Skillicorn","year":"1982","journal-title":"J. Austral. Math. Ser. A"},{"key":"10.1016\/S0012-365X(97)00272-0_BIB22","first-page":"5","article-title":"Directed coverings of pairs into quadruples","volume":"26","author":"Skillicorn","year":"1984","journal-title":"Utilitas Math."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB23","first-page":"161","article-title":"On directed balanced incompleted block designs with block size 5","volume":"18","author":"Street","year":"1980","journal-title":"Utilitan Math."},{"key":"10.1016\/S0012-365X(97)00272-0_BIB24","first-page":"63","article-title":"Four mutually orthogonal Latin squares of order 20","volume":"27","author":"Todorov","year":"1989","journal-title":"Ars Combin."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X97002720?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X97002720?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T20:35:00Z","timestamp":1681158900000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X97002720"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,6]]},"references-count":24,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1998,6]]}},"alternative-id":["S0012365X97002720"],"URL":"https:\/\/doi.org\/10.1016\/s0012-365x(97)00272-0","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1998,6]]}}}