{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T00:36:15Z","timestamp":1775608575509,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2015,5,24]],"date-time":"2015-05-24T00:00:00Z","timestamp":1432425600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1007\/s10623-015-0090-6","type":"journal-article","created":{"date-parts":[[2015,5,25]],"date-time":"2015-05-25T00:49:50Z","timestamp":1432514990000},"page":"553-562","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["The asymptotic existence of DR $$(v,k,k-1)$$ ( v , k , k - 1 ) -BIBDs"],"prefix":"10.1007","volume":"77","author":[{"given":"E. R.","family":"Lamken","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,5,24]]},"reference":[{"key":"90_CR1","unstructured":"Abel R.J.R., Colbourn C.J., Dinitz J.H.: Mutually orthogonal Latin squares (MOLS). In: Colbourn, C.J., Dinitz, J.H. (eds.) The CRC Handbook of Combinatorial Designs, 2nd edn pp. 160\u2013193. CRC Press, Boca Raton (2007)."},{"key":"90_CR2","unstructured":"Abel R.J.R., Ge G., Yin J.: Resolvable and near-resolvable designs. In: Colbourn C.J., Dinitz J.H. (eds.) The CRC Handbook of Combinatorial Designs, 2nd edn pp. 124\u2013132. CRC Press, Boca Raton (2007)."},{"key":"90_CR3","doi-asserted-by":"crossref","unstructured":"Abel R.J.R., Lamken E.R., Wang J.: A few more Kirkman squares and doubly near resolvable BIBDs with block size 3. Discret. Math. 308, 1102\u20131123 (2008).","DOI":"10.1016\/j.disc.2007.04.001"},{"key":"90_CR4","doi-asserted-by":"crossref","unstructured":"Abel R.J.R., Chan N., Colbourn C.J., Lamken E.R., Wang C., Wang J.: Doubly resolvable nearly Kirkman triple systems. J. Comb. Des. 21, 342\u2013358 (2013).","DOI":"10.1002\/jcd.21342"},{"key":"90_CR5","unstructured":"Chan J.H.: Asymptotic existence results on specific graph decompositions, M.Sc. Thesis, University of Victoria (2010)."},{"key":"90_CR6","unstructured":"Chan J.H., Dukes P.J., Lamken E.R., Ling A.C.H.: Asymptotic existence of resolvable group divisible designs. J. Comb. Des. 21, 112\u2013126 (2013)."},{"key":"90_CR7","doi-asserted-by":"crossref","unstructured":"Chee Y.M., Kiah H.M., Ling A.C.H., Wang C.: Generalized balanced tournament packings and optimal equitable symbol weight codes for power line communications. J. Comb. Des. 23, 151\u2013182 (2015).","DOI":"10.1002\/jcd.21398"},{"key":"90_CR8","unstructured":"Colbourn C.J., Curran D.G., Vanstone S.A.: Recursive constructions for Kirkman squares with block size 3. Util. Math. 32, 169\u2013174 (1987)."},{"key":"90_CR9","doi-asserted-by":"crossref","unstructured":"Colbourn C.J., Lamken E.R., Ling A.C.H., Mills W.H.: The existence of Kirkman squares\u2014doubly resolvable $$(v,3,1)$$ ( v , 3 , 1 ) -BIBD. Des. Codes Cryptogr. 26, 169\u2013196 (2002).","DOI":"10.1023\/A:1016513527747"},{"key":"90_CR10","doi-asserted-by":"crossref","unstructured":"Curran D.G., Vanstone S.A.: Doubly resolvable designs from generalized Bhaskar Rao designs. Discret. Math. 73, 49\u201363 (1988).","DOI":"10.1016\/0012-365X(88)90132-X"},{"key":"90_CR11","doi-asserted-by":"crossref","unstructured":"Dukes P., Ling A.C.H.: Asymptotic existence of resolvable graph designs. Can. Math. Bull. 50, 504\u2013518 (2007).","DOI":"10.4153\/CMB-2007-050-x"},{"key":"90_CR12","unstructured":"Dukes P.J., Lamken E.R., Ling A.C.H.: Constructions for incomplete designs (submitted)."},{"key":"90_CR13","doi-asserted-by":"crossref","unstructured":"Etzion T.: Optimal doubly constant weight codes. J. Comb. Des. 16, 137\u2013151 (2008).","DOI":"10.1002\/jcd.20160"},{"key":"90_CR14","doi-asserted-by":"crossref","unstructured":"Fuji-hara R., Vanstone S.A.: Transversal designs and doubly resolvable designs. Eur. J. Comb. 1, 219\u2013223 (1980).","DOI":"10.1016\/S0195-6698(80)80005-9"},{"key":"90_CR15","doi-asserted-by":"crossref","unstructured":"Gibbons P.B., Mathon R.: Construction methods for Bhaskar Rao and related designs. J. Aust. Math. Soc. Ser. A 42, 5\u201330 (1987).","DOI":"10.1017\/S1446788700033929"},{"key":"90_CR16","unstructured":"Kirkman T.P.: Query VI. Lady\u2019s Gentlem. Diary. 147, 48 (1850)."},{"key":"90_CR17","doi-asserted-by":"crossref","unstructured":"Lamken E.R.: Generalized balanced tournament designs. Trans. AMS 318, 473\u2013490 (1990).","DOI":"10.1090\/S0002-9947-1990-0978380-6"},{"key":"90_CR18","doi-asserted-by":"crossref","unstructured":"Lamken E.R.: 3-Complementary frames and doubly near resolvable $$(v,3,2)$$ ( v , 3 , 2 ) -BIBDs. Discret. Math. 88, 59\u201378 (1991).","DOI":"10.1016\/0012-365X(91)90059-B"},{"key":"90_CR19","doi-asserted-by":"crossref","unstructured":"Lamken E.R.: Constructions for generalized balanced tournament designs. Discret. Math. 131, 127\u2013151 (1994).","DOI":"10.1016\/0012-365X(94)90379-4"},{"key":"90_CR20","doi-asserted-by":"crossref","unstructured":"Lamken E.R.: The existence of doubly resolvable $$(v,3,2)$$ ( v , 3 , 2 ) -BIBDs. J. Comb. Theory Ser. A 72, 50\u201376 (1995).","DOI":"10.1016\/0097-3165(95)90028-4"},{"key":"90_CR21","doi-asserted-by":"crossref","unstructured":"Lamken E.R.: Designs with mutually orthogonal resolutions and decompositions of edge-colored graphs. J. Comb. Des. 17, 425\u2013447 (2009).","DOI":"10.1002\/jcd.20225"},{"key":"90_CR22","unstructured":"Lamken E.R.: Partititioned balanced tournament designs and k-complementary frames (in preparation)."},{"key":"90_CR23","unstructured":"Lamken E.R., Vanstone S.A.: I. The existence of $$KS_k(v;\\mu ,\\lambda )$$ K S k ( v \u037e \u03bc , \u03bb ) : the main constructions. Util. Math. 27, 111\u2013130 (1985)."},{"key":"90_CR24","doi-asserted-by":"crossref","unstructured":"Lamken E.R., Vanstone S.A.: On a class of Kirkman squares of index 2. J. Aust. Math. Soc. Ser. A 44, 33\u201341 (1988).","DOI":"10.1017\/S1446788700031347"},{"key":"90_CR25","doi-asserted-by":"crossref","unstructured":"Lamken E.R., Wilson R.M.: Decompositions of edge-colored complete graphs. J. Comb. Theory Ser. A 89, 149\u2013200 (2000).","DOI":"10.1006\/jcta.1999.3005"},{"key":"90_CR26","unstructured":"Lu J.X.: An existence theory for resolvable balanced incomplete block designs. Acta Math. Sin. 27, 458\u2013468 (1984). (in Chinese)"},{"key":"90_CR27","doi-asserted-by":"crossref","unstructured":"Mathon R., Vanstone S.A.: On the existence of doubly resolvable Kirkman systems and equidistant permutation arrays. Discret. Math. 30, 157\u2013172 (1980).","DOI":"10.1016\/0012-365X(80)90117-X"},{"key":"90_CR28","doi-asserted-by":"crossref","unstructured":"Mullin R.C., Wallis W.D.: The existence of Room squares. Aequationes Math. 1, 1\u20137 (1975).","DOI":"10.1007\/BF01834113"},{"key":"90_CR29","doi-asserted-by":"crossref","unstructured":"Ray-Chaudhuri D.K., Wilson R.M.: The existence of resolvable designs. In: Srivastava J.N., et al. (eds.) A Survey of Combinatorial Theory, pp. 361\u2013376, North-Holland, Amsterdam (1973).","DOI":"10.1016\/B978-0-7204-2262-7.50035-1"},{"key":"90_CR30","unstructured":"Schrijver A.: Theory of Linear and Integer Programming. Wiley, Chichester (1986)."},{"key":"90_CR31","unstructured":"Wilson R.M.: Constructions and uses of pairwise balanced designs. In: Hall M. Jr., van Lint J.H. (eds.) Proceedings of the NATO Advanced Study Institute in Combinatorics, Nijenrode Castle, Breukelen, pp. 19\u201342 (1974)."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-015-0090-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-015-0090-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-015-0090-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T15:58:40Z","timestamp":1559231920000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-015-0090-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,24]]},"references-count":31,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["90"],"URL":"https:\/\/doi.org\/10.1007\/s10623-015-0090-6","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5,24]]}}}