{"id":404,"date":"2021-07-26T13:56:49","date_gmt":"2021-07-26T13:56:49","guid":{"rendered":"https:\/\/site.uvm.edu\/jdinitz\/?page_id=404"},"modified":"2021-07-26T15:54:41","modified_gmt":"2021-07-26T15:54:41","slug":"new-results-in-part-v","status":"publish","type":"page","link":"https:\/\/site.uvm.edu\/jdinitz\/?page_id=404","title":{"rendered":"New Results in Part V"},"content":{"rendered":"\n
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This page contains new results in the area of combinatorial designs that have occurred since the publication of the Handbook of Combinatorial Designs, Second Edition <\/em>in November 2006. The results here would be contained in Part V of the Handbook.<\/p>\n\n\n\n

Last edited 2\/15\/18<\/p>\n\n\n\n

\"https:\/\/site.uvm.edu\/jdinitz\/files\/2021\/07\/rutbar.gif\"<\/figure>\n\n\n\n

Page 277, Table 1.49. There are exactly 13,710,027 equivalence classes of Hadamard matrices of order 32. (Reference: Hadamard matrices of order 32, H. Kharaghania, B. Tayfeh-Rezaie, preprint, 2012). Using this data, Brendan McKay reports that there are: 355,293,682 3-(32,16,7) designs and 10,374,196,953 2-(31,15,7) designs. Brendan McKay (bdm@cs.anu.edu.au), Feb. 2012<\/p>\n\n\n\n

Page 277, Table 1.51. Skew-type Hadamard matrices have been constructed for orders 4n with n = 47, 97, 109, 145, 247. (References: arXiv:0704.0640v1 [math.CO] 4 Apr 2007 and arXiv:0706.1973v1 [math.CO] 13 Jun 2007) D.Z. Djokovic (djokovic@hypatia.math.uwaterloo.ca). August 2007.<\/p>\n\n\n\n

Page 278, Table 1.53. A Hadamard matrix of order 764 = 4 x 191 has been constructed. (Reference: arXiv:math.CO\/0703312v1 11 Mar 2007. To appear in Combinatorica) D.Z. Djokovic (djokovic@hypatia.math.uwaterloo.ca). August 2007.<\/p>\n\n\n\n

Page 290, Table 2.85. Weighing matrices have been constructed for 11 new orders in this table. The orders are: W(58,49), W(62,49), W(66,49), W(70,49), W(115,49), W(119,49), W(123,49), W(127,49), W(148,144), W(152,144), and W(156,144). Ilias Kotsireas (kotsire@wlu.ca). Nov. 2010<\/p>\n\n\n\n

Page 290, Table 2.85. Weighing matrices have been constructed for 33 new orders in this table. The orders are: W(148,144), W(152,144), W(156,144), W(164,144), W(172,144), W(176,144), W(204,196), W(212,196), W(216,196), W(220,196), W(224,196), W(232,196), W(236,196), W(244,196), W(248,196), W(252,196), W(260,196), W(264,196), W(268,196), W(276,196), W(280,196), W(284,196), W(292,196), W(296,196), W(308,196), W(316,196), W(276,225), W(280,225), W(284,225), W(292,225), W(296,225) W(308,225), W(312,225). Dimitris Simos (dsimos@math.ntua.gr) Nov. 2010<\/p>\n\n\n\n

Page 290, Table 2.85.  Weighing matrices W(n,w<\/em>) for w<\/em> = 16 have been found for the four values of n<\/em> that were previously unknown.  All were found by  Assaf Goldberger (assafg@post.tau.ac.il), Giora Dula and Yossi Strassler.<\/p>\n\n\n\n