{"title":"A new family of additive designs","authors":"A. Caggegi","doi":"10.26493/1855-3974.2707.29c","DOIUrl":null,"url":null,"abstract":"In this paper we construct a family of 2 - ( q n , sp 2 , λ ) additive designs D = ( P , B ) , where q is a power of a prime p and P is a n -dimensional vector space over GF( q ) and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":"56 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Math. Contemp.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/1855-3974.2707.29c","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper we construct a family of 2 - ( q n , sp 2 , λ ) additive designs D = ( P , B ) , where q is a power of a prime p and P is a n -dimensional vector space over GF( q ) and we compute their parameters explicitly. These designs, except for some special cases, had not been considered in the previous literature on additive block designs.
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