EXISTENCE OF OPTIMAL STRONG PARTIALLY BALANCED DESIGNS

被引：0

作者：

Du Beiliang Department of Mathematics

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2007年 / 02期

关键词：

strong partially balanced design; pairwise balanced design;

D O I：

暂无

中图分类号：

O224 [最优化的数学理论];

学科分类号：

070105 ; 1201 ;

摘要：

A strong partially balanced design SPBD(v,6, k;λ,0) whose 6 is the maximum number of blocks in all SPBD(u, b, k;λ, 0), as an optimal strong partially balanced design, briefly OSPBD(v,k,λ) is studied. In investigation of authentication codes it has been found that the strong partially balanced design can be used to construct authentication codes. This note investigates the existence of optimal strong partially balanced design OSPBD(v, k, 1) for k = 3 and 4, and shows that there exists an OSPBD(v, k, 1) for any v≥k.

引用

页码：169 / 173

页数：5

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