On balanced incomplete-block designs with repeated blocks

被引：3
|
作者：
Dobcsanyi, P. [1 ]
Preece, D. A.
Soicher, L. H.
机构：
[1] Dalhousie Univ, Fac Comp Sci, Halifax, NS B3H 1W5, Canada
[2] Univ London Imperial Coll Sci Technol & Med, Dept Comp, London SW7 2AZ, England
[3] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
[4] Univ Kent, Inst Math Stat & Acturial Sci, Canterbury CT2 7NZ, Kent, England
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2007年 / 28卷 / 07期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1016/j.ejc.2006.08.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1955 / 1970
页数：16
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