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 in November 2006.
The results here would be contained in Part V of the Handbook.
Last edited 6/19/09
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.
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.
Page 318, Remark 8.13. There exist PCS(50,2). (Reference: arXiv:0707.2173v1 [math.CO] 14 Jul 2007) D.Z. Djokovic (djokovic@hypatia.math.uwaterloo.ca). August 2007.
Page 318, Remark 8.13. Several thousand PCS(50,2) have been reported in the two papers Periodic complementary binary sequences of length 50 by I.S. Kotsireas and C. Koukouvinos, Int. J. Appl. Math. 21 (2008), pp. 509-514 and Inequivalent Hadamard matrices of order 100 constructed from two circulant submatrices by I.S. Kotsireas and C. Koukouvinos, Int. J. Appl. Math. 21 (2008), pp. 685-689. Ilias Kotsireas (ikotsire@uwaterloo.ca). June 2009.
Page 319, Table 8.17. Table 8.17 is reduced to just one undecided case, namely: p=3 and n=48. (Reference: arXiv:0708.0053v1 [cs.IT] 1 Aug 2007). D.Z. Djokovic (djokovic@hypatia.math.uwaterloo.ca). August 2007.
Page 319, Table 8.17. All undecided cases have been settled in the paper Periodic complementary binary sequences and combinatorial optimization algorithms by I.S. Kotsireas, C. Koukouvinos, P.M. Pardalos and O.V. Shylo, Journal of Combinatorial Optimization, to appear. Ilias Kotsireas (ikotsire@uwaterloo.ca). June 2009.
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