{"title":"Quasi-symmetric \\(2\\)-\\((28,12,11)\\) designs with an automorphism of order \\(5\\)","authors":"Renata Vlahovic Kruc, Vedran Krčadinac","doi":"10.3336/gm.58.2.01","DOIUrl":null,"url":null,"abstract":"A design is called quasi-symmetric if it has only two block intersection numbers. Using a method based on orbit matrices, we classify quasi-symmetric \\(2\\)-\\((28,12,11)\\) designs with intersection numbers \\(4\\), \\(6\\), and an automorphism of order \\(5\\). There are exactly \\(31\\,696\\) such designs up to isomorphism.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"99 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Glasnik Matematicki","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.58.2.01","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A design is called quasi-symmetric if it has only two block intersection numbers. Using a method based on orbit matrices, we classify quasi-symmetric \(2\)-\((28,12,11)\) designs with intersection numbers \(4\), \(6\), and an automorphism of order \(5\). There are exactly \(31\,696\) such designs up to isomorphism.
期刊介绍：
Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.
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