{"title":"A note on quasi-symmetric designs","authors":"W.D. Wallis","doi":"10.1016/S0021-9800(70)80060-6","DOIUrl":null,"url":null,"abstract":"<div><p>A quasi-symmetric balanced incomplete block design with parameters (4<em>y</em>, 8<em>y</em>−2, 4<em>y</em>−1, 2<em>y</em>, 2<em>y</em>−1) exists if and only if there is an Hadamard matrix of order 4<em>y</em>.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"9 1","pages":"Pages 100-101"},"PeriodicalIF":0.0000,"publicationDate":"1970-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80060-6","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980070800606","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
A quasi-symmetric balanced incomplete block design with parameters (4y, 8y−2, 4y−1, 2y, 2y−1) exists if and only if there is an Hadamard matrix of order 4y.
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