EXISTENCE OF OPTIMAL STRONG PARTIALLY BALANCED DESIGNS  

作　　者：Du Beiliang 

机构地区：[1]Department of Mathematics, Suzhou University, Suzhou 215006, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2007年第2期169-173,共5页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NNSF of China (10571133).

摘　　要：A strong partially balanced design SPBD（v, b, k; λ,0） whose b is the maximum number of blocks in all SPBD（v, 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.A strong partially balanced design SPBD（v, b, k; λ,0） whose b is the maximum number of blocks in all SPBD（v, 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.

关 键 词：strong partially balanced design pairwise balanced design 

分 类 号：TN911.21[电子电信—通信与信息系统] TP309.7[电子电信—信息与通信工程]