基于奇异酉空间的具有容错纠错能力的Pooling设计的构造  

Constructing Error-correcting Pooling Designs with Singular Unitary Space

作　　者：刘雪梅[1] 高星[1] 

机构地区：[1]中国民航大学理学院

出　　处：《应用数学学报》2016年第2期261-273,共13页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(No.61179026);中央高校基本科研业务费(No.3122015L008)资助项目

摘　　要：本文利用奇异酉空间中子空间的包含关系,构造了一类具有容错纠错能力的Pooling设计,讨论了其析取性质,计算了其实验效率t/c,并通过与已构造出设计的实验效率进行对比,表明:在一定条件下,新设计优于前人已构造出的设计.另外,本文还分析了所构造矩阵的行数、列数分别随参数的变化规律,从而得出了该设计的实验效率随相关参数的变化规律.In this paper, we firstly construct a family of error-correcting pooling designs with the incidence matrix of two types of subspaces of singular unitary space over finite fields, and exhibit their disjunct properties, then we show that the new construction gives better ratio of efficiency than the former ones under conditions. At last, we obtain how the parameters influence the test efficiency by analyzing the relationship between the related parameters and the numbers of the new design＇s columns and rows. It is beneficial for us to choose an applicable pooling design along with our need.

关 键 词：POOLING设计 dz-析取矩阵 奇异酉空间 子空间 参数 

分 类 号：O157.2[理学—数学]