{"title":"GDDs with 4 Groups and Block Size 5","authors":"Zebene Girma Tefera, Samuel Asefa Fufa","doi":"10.4314/sinet.v46i2.3","DOIUrl":null,"url":null,"abstract":"This paper studies a special case of group divisible designs (GDDs) called 3-GDDs, which were defined by extending the definitions of a group divisible designs and a t-design. In particular, the paper looks at a 3-GDD(n, 4, 5; μ1, μ2) with 4 groups and block size 5. Necessary conditions for the existence given.","PeriodicalId":275075,"journal":{"name":"SINET: Ethiopian Journal of Science","volume":"186 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SINET: Ethiopian Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/sinet.v46i2.3","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
This paper studies a special case of group divisible designs (GDDs) called 3-GDDs, which were defined by extending the definitions of a group divisible designs and a t-design. In particular, the paper looks at a 3-GDD(n, 4, 5; μ1, μ2) with 4 groups and block size 5. Necessary conditions for the existence given.
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