{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T05:26:04Z","timestamp":1767245164852},"reference-count":25,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1990,2,1]],"date-time":"1990-02-01T00:00:00Z","timestamp":633830400000},"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":8567,"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":[[1990,2]]},"DOI":"10.1016\/0012-365x(90)90335-f","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:43Z","timestamp":1027655023000},"page":"265-278","source":"Crossref","is-referenced-by-count":15,"title":["Orthogonal starters in finite abelian groups"],"prefix":"10.1016","volume":"79","author":[{"given":"J.D.","family":"Horton","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(90)90335-F_BIB1","first-page":"8","article-title":"On the existence of normalized Room squares","volume":"7","author":"Chong","year":"1974","journal-title":"Nanta Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB2","first-page":"393","article-title":"New lower bounds for the number of pairwise orthogonal symmetric Latin squares","author":"Dinitz","year":"1979","journal-title":"Proc. 10th Southeastern Conference Combinatorics, Graph Theory and Computing"},{"key":"10.1016\/0012-365X(90)90335-F_BIB3","first-page":"261","article-title":"Pairwise orthogonal symmetric Latin squares","volume":"32","author":"Dinitz","year":"1981","journal-title":"Congressus Numerantium"},{"key":"10.1016\/0012-365X(90)90335-F_BIB4","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1017\/S1446788700024678","article-title":"Room n-cubes of low order","volume":"36","author":"Dinitz","year":"1984","journal-title":"J. Austral. Math. Soc."},{"key":"10.1016\/0012-365X(90)90335-F_BIB5","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0097-3165(87)90049-5","article-title":"The existence of Room 5-cubes","volume":"45","author":"Dinitz","year":"1987","journal-title":"J. Comb. Theory"},{"key":"10.1016\/0012-365X(90)90335-F_BIB6","first-page":"207","article-title":"A note on Howell designs of odd side","volume":"18","author":"Dinitz","year":"1980","journal-title":"Utilitas Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB7","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0195-6698(81)80029-7","article-title":"The spectrum of Room cubes","volume":"2","author":"Dinitz","year":"1981","journal-title":"Europ. J. Combinatorics"},{"key":"10.1016\/0012-365X(90)90335-F_BIB8","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1137\/0602007","article-title":"a fast algorithm for finding strong starters","volume":"2","author":"Dinitz","year":"1981","journal-title":"SIAM J. Alg. Disc. Methods"},{"key":"10.1016\/0012-365X(90)90335-F_BIB9","first-page":"143","article-title":"Four orthogonal one-factorizations on ten points","volume":"26","author":"Dinitz","year":"1985","journal-title":"Ann. Discrete Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB10","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0012-365X(75)90048-5","article-title":"some new classes of strong starters","volume":"12","author":"Gross","year":"1975","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB11","first-page":"187","article-title":"The existence of strong starters in cyclic groups","volume":"7","author":"Gross","year":"1975","journal-title":"Utilitas Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB12","first-page":"239","article-title":"The number of pairwise orthogonal symmetric Latin squares","volume":"4","author":"Gross","year":"1973","journal-title":"Utilitas Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB13","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/BF01818519","article-title":"Quintuplication of Room squares","volume":"7","author":"Horton","year":"1971","journal-title":"Aeq. Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB14","series-title":"Ph.D. Thesis","article-title":"Some Recursive Constructions of Combinatorial Designs","author":"Horton","year":"1971"},{"key":"10.1016\/0012-365X(90)90335-F_BIB15","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1007\/BF02190160","article-title":"Room designs and one-factorizations","volume":"22","author":"Horton","year":"1981","journal-title":"Aeq. Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB16","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0012-365X(83)90156-5","article-title":"The construction of Kotzig factorizations","volume":"43","author":"Horton","year":"1983","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB17","first-page":"561","article-title":"Strong starters, balanced starters, and partitionable starters","volume":"11","author":"Hwang","year":"1983","journal-title":"Bull. Inst. Math. Academia Sinica"},{"key":"10.1016\/0012-365X(90)90335-F_BIB18","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0012-365X(85)90191-8","article-title":"On strong starters in cyclic groups","volume":"56","author":"Kocay","year":"1985","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB19","first-page":"123","article-title":"The existence of strong starters in Z16k2+1: a simpler proof","volume":"11","author":"Lins","year":"1985","journal-title":"Ars Combinatoria"},{"key":"10.1016\/0012-365X(90)90335-F_BIB20","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1002\/jgt.3190090104","article-title":"One-factorizations of the complete graph\u2014a survey","volume":"9","author":"Mendelsohn","year":"1985","journal-title":"J. Graph Theory"},{"key":"10.1016\/0012-365X(90)90335-F_BIB21","doi-asserted-by":"crossref","first-page":"493","DOI":"10.4153\/CMB-1969-063-6","article-title":"An existence theorem for Room squares","volume":"12","author":"Mullin","year":"1969","journal-title":"Can. Math. Bull."},{"key":"10.1016\/0012-365X(90)90335-F_BIB22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01834113","article-title":"The existence of Room squares","volume":"13","author":"Mullin","year":"1975","journal-title":"Aeq. Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB23","doi-asserted-by":"crossref","first-page":"1540","DOI":"10.1214\/aoms\/1177698135","article-title":"Construction of Room squares","volume":"39","author":"Stanton","year":"1968","journal-title":"Ann. Math. Stat."},{"key":"10.1016\/0012-365X(90)90335-F_BIB24","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/0012-365X(85)90116-5","article-title":"Hill-climbing algorithms for the construction of combinatorial designs","volume":"26","author":"Stinson","year":"1985","journal-title":"Ann. Discrete Math."},{"key":"10.1016\/0012-365X(90)90335-F_BIB25","first-page":"521","article-title":"Recent advances on complementary and skew Room squares","author":"Wallis","year":"1973","journal-title":"Proc. 4th Southeastern Conference on Combinatorics, Graph Theory and Computing"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9090335F?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9090335F?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T05:52:07Z","timestamp":1555134727000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X9090335F"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,2]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1990,2]]}},"alternative-id":["0012365X9090335F"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(90)90335-f","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1990,2]]}}}