Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3

Discrete Mathematics - Tập 338 - Trang 2105-2118 - 2015
Juan Du1, R. Julian R. Abel2, Jinhua Wang1
1School of Sciences, Nantong University, Nantong 226007, PR China
2School of Mathematics and Statistics, University of New South Wales, N.S.W. 2052, Australia

Tài liệu tham khảo

Abel, 2010, Existence of doubly near resolvable (v,4,3) BIBDs, Australas. J. Combin., 47, 109

Abel, 2013, Doubly resolvable nearly Kirkman triple systems, J. Combin. Des., 21, 342, 10.1002/jcd.21342

Abel, 2007, Mutually orthogonal Latin squares (MOLS)

Abel, 2008, A few more Kirkman squares and doubly resolvable BIBDs with block size 3, Discrete Math., 308, 1102, 10.1016/j.disc.2007.04.001

Agrell, 2000, Upper bounds for constant-weight codes, IEEE Trans. Inform. Theory, 46, 2373, 10.1109/18.887851

Anderson, 1984, The existence of Howell designs of even side, J. Combin. Theory Ser. A, 36, 23, 10.1016/0097-3165(84)90076-1

Colbourn, 1987, Recursive constructions for Kirkman squares with block size 3, Util. Math., 32, 169

Colbourn, 2004, Permutation arrays for powerline communication and mutually orthogonal Latin squares, IEEE Trans. Inform. Theory, 50, 1289, 10.1109/TIT.2004.828150

de la Torre, 2000, An application of permutation arrays to block ciphers, Cong. Numer., 145, 5

Ding, 2005, Combinatorial constructions of optimal constant composition codes, IEEE Trans. Inform. Theory, 51, 3671, 10.1109/TIT.2005.855612

Etzion, 2008, Optimal doubly constant weight codes, J. Combin. Des., 16, 137, 10.1002/jcd.20160

Furino, 1996

Lamken, 1991, 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs, Discrete Math., 88, 59, 10.1016/0012-365X(91)90059-B

Lamken, 1988, On a class of Kirkman squares of index 2, J. Aust. Math. Soc. Ser. A, 44, 33, 10.1017/S1446788700031347

Pavlidou, 2003, Power line communications: State of the art and future trends, IEEE Commun. Mag., 41, 34, 10.1109/MCOM.2003.1193972

Rees, 1993, Two new direct product type constructions for resolvable group divisible designs, J. Combin. Des., 1, 15, 10.1002/jcd.3180010104

Stinson, 1982, The existence of Howell designs of odd side, J. Combin. Theory Ser. A, 32, 53, 10.1016/0097-3165(82)90064-4

Wilson, 1974, Constructions and uses of pairwise balanced designs, 19