New results and applications of superimposed codes (and related combinatorial structures) to the design of efficient group testing procedures

Annalisa De Bonis, U. Vaccaro
{"title":"New results and applications of superimposed codes (and related combinatorial structures) to the design of efficient group testing procedures","authors":"Annalisa De Bonis, U. Vaccaro","doi":"10.1109/ISIT.2004.1365291","DOIUrl":null,"url":null,"abstract":"Let s be the number of unknown positive elements in a population of n members, 2/spl les/s<n. We aim at finding all the s positive elements by testing group of members of the population, under the constraint that a group tests positive if and only if it contains exactly one positive element. This model was considered in [T. Berger et al., 1984, P. Damaschke, 1998]. We provide tight upper and lower bounds on the optimal number of tests needed to solve above group testing problem, improving on [A.G. Dyachkov, 2003]. Instrumental to our results are new and improved bounds for generalized superimposed codes in the sense of [A. De Bonis et al., 2003, A.G. Dyachkov et al., 1984].","PeriodicalId":269907,"journal":{"name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2004.1365291","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

Let s be the number of unknown positive elements in a population of n members, 2/spl les/s
新结果和应用的叠加代码(和相关的组合结构),以设计有效的组测试程序
设s为n个成员的总体中未知正元素的个数,2/s /s
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信