{"title":"WELL-ROUNDED LATTICES VIA POLYNOMIALS WITH REAL ROOTS","authors":"C. Alves, W.L.S. Pinto, A. A. Andrade","doi":"10.12732/ijam.v33i4.10","DOIUrl":null,"url":null,"abstract":"Well-rounded lattices have been a topic of recent studies with applications in wiretap channels and in cryptography. A lattice of full rank in Euclidean space is called well-rounded if its set of minimal vectors spans the whole space. In this paper, we investigate the well-roundedness of lattices coming from polynomials with integer coefficients and real roots. AMS Subject Classification: 11H31, 11H06, 11H71","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"29 1","pages":"663"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v33i4.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Well-rounded lattices have been a topic of recent studies with applications in wiretap channels and in cryptography. A lattice of full rank in Euclidean space is called well-rounded if its set of minimal vectors spans the whole space. In this paper, we investigate the well-roundedness of lattices coming from polynomials with integer coefficients and real roots. AMS Subject Classification: 11H31, 11H06, 11H71
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