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基于奇异酉空间的具有容错纠错能力的Pooling设计的构造
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O157.2[理学—数学;理学—基础数学]
  • 作者机构：中国民航大学理学院,天津300300
  • 相关基金：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.
作者： 刘雪梅, 高星
关键词： POOLING设计, dz-析取矩阵, 奇异酉空间, 子空间, 参数, pooling designs, dZ-disjunct matrix, singular unitary space, subspace, parameters
中文摘要：

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÷，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．

英文摘要：

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.

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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864