Dobcsanyi, P. and Preece, D.A. and Soicher, L.H. (2007) On balanced incomplete-block designs with repeated blocks. European journal of Combinatorics, 28 (7). pp. 1955-1970. ISSN 0195-6698.
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| Official URL http://dx.doi.org/10.1016/j.ejc.2006.08.007 |
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Abstract
Balanced incomplete-block designs (BIBDs) with repeated blocks are studied and constructed. We continue work initiated by van Lint and Ryser in 1972 and pursued by van Lint in 1973. We concentrate on constructing (v, b, r, k, lambda)-BIBDs with repeated blocks, especially those with gcd(b, r, lambda) = 1 and r <= 20. We obtain new bounds for the multiplicity of a block in terms of the parameters of a BIBD, and improvements to these bounds for a resolvable BlBD. This allows us to answer a question of van Lint about the sufficiency of certain conditions for the existence of a BIBD with repeated blocks. (c) 2006 Elsevier Ltd. All rights reserved
| Item Type: | Article |
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| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Stephen Holland |
| Date Deposited: | 19 Dec 2007 19:26 |
| Last Modified: | 05 Sep 2011 23:26 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/2070 (The current URI for this page, for reference purposes) |
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