Article(id=1242120324695789905, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1242120301132185826, articleNumber=null, orderNo=null, doi=null, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1275580800000, receivedDateStr=2010-06-04, revisedDate=1275840000000, revisedDateStr=2010-06-07, acceptedDate=null, acceptedDateStr=null, onlineDate=1280246400000, onlineDateStr=2010-07-28, pubDate=1280246400000, pubDateStr=2010-07-28, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1280246400000, onlineIssueDateStr=2010-07-28, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774074162883, creator=sys-migrate, updateTime=1774074162883, updator=sys-migrate, issue=Issue{id=1242120301132185826, tenantId=1146029695717560320, journalId=1146031591421210625, year='2010', volume='28', issue='14', pageStart='3', pageEnd='140', issueExtLink='null', onlineDate='null', pubDate='1280246400000', pubDateStr='2010-07-28', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=3, issueType=-1, specialIssue=null, createTime=1774074157267, creator='sys-migrate', updateTime=1774074157267, updator='sys-migrate', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=67, endPage=69, ext={EN=ArticleExt(id=1242120326969098551, articleId=1242120324695789905, tenantId=1146029695717560320, journalId=1146031591421210625, language=EN, title=Tripling Construction for Large Sets of Directed Triple Systems with Index 3, columnId=1242116080374710456, journalTitle=Science & Technology Review, columnName=Articles, runingTitle=null, highlight=null, articleAbstract=There are two kinds of oriented triples on X: the cyclic triple and the transitive triple. A cyclic triple on X is a set of three ordered pairs (x, y), (y, z) and (z, x) of X, which is denoted by <x, y, z> (or <y, z, x>, or <z, x, y>), and a transitive triple on X is a set of three ordered pairs (x, y), (y, z) and (x, z) of X, which is denoted by (x, y, z). An oriented triple system of order v with index λ is a pair (X, B)where X is a v-set and B is a collection of oriented triples on X, called blocks, such that every ordered pair of X belongs to exactly λ blocks of B. If B consists of transitive (or cyclic) triples only, the system is called a directed triple system (or Mendelsohn triple system） of order v with index λ and denoted by DTS(v, λ) (or MTS(v, λ)). If B contains both cyclic triples and transitive triples, the system is called a hybrid triple system of order v with index λ and denoted by HTS(v, λ). A triple system is called simple if there are no repeated blocks in B. A simple DTS(v, λ) is called pure and denoted by PDTS(v, λ) if (x, y, z)∈B implies (z, y, x), (z, x, y), (y, x, z), (y, z, x), (x, z, y)?埸B. A large set of disjoint PDTS(v, λ)s, denoted by LPDTS(v, λ), is a collection of {(X,Bi）}i where each (X,Bi) is a PDTS(v, λ) and ∪iBi is a partition of all transitive triples on X. In this paper, a tripling construction for LPDTS(v, 3) is presented, and one infinite family for the existence of LPDTS(v, 3) is obtained: for any positive integers v, v≡8,14(mod18）, there exists an LPDTS(v, 3)., authors=null, authorsList=null, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=Bing-Li FAN, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=B0txH+AO8oWcuAO5GoqoVg==, pdfFileSize=325620, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242120326147014955, articleId=1242120324695789905, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=指标为3的单纯可迁三元系大集的三倍构作, columnId=1146540929516700224, journalTitle=科技导报, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=一个指标为3的可迁三元系DTS（v，3）是一个对子（X，B）（其中X为一个v元集，B为X中可迁三元组（称作区组）的集合），满足X的每个有序对都恰包含于B中的3个区组。设（X，B）是一个没有重复区组的DTS（v，3），如果（x，y，z）∈B，必有（z，y，x），（z，x，y），（y，x，z），（y，z，x），（x，z，y）?埸B，则称（X，B）是单纯的，记为PDTS（v，3）。不相交PDTS（v，3）大集记为LPDTS（v，3），是一个集合{（X，Bi）}i，其中每个（X，Bi）都是PDTS（v，3），并且∪iBi构成X中所有可迁三元组的一个划分。本文给出了LPDTS（v，3）的一种三倍构造方法，得到了其存在的一个无穷类：对于任意正整数v，v≡8,14（mod18），存在LPDTS（v，3）。结论对构作常重码具有重要的参考价值和理论意义。, authors=范秉理, authorsList=范秉理, authorCompany=北京交通大学数学研究所，北京 100044, correspAuthors=null, authorNote=null, correspAuthorsNote=范秉理, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=LQeLaIPvFF0NOnbVs+jqPQ==, pdfFileSize=325620, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null)}, authors=null, keywords=[Keyword(id=1242120325756948824, 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