Fully-Diverse Lattices from Ramified Cyclic Extensions of Prime Degree

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dc.contributor.authorInterlando, J. Carmelo
dc.contributor.authorAndrade, Antonio A.
dc.contributor.authorMalaxechebarr´ıa, Bego˜na Garc´ıa
dc.contributor.authorFerrari, Agnaldo J
dc.contributor.authorde Ara´ujo, Robson R
dc.contributor.institutionSan Diego State University San Diego
dc.contributor.institutionS˜ao Paulo State University
dc.contributor.institutionUniversity of Murcia
dc.contributor.institutionFederal University of S˜ao Paulo
dc.date.accessioned2022-04-28T19:29:54Z
dc.date.available2022-04-28T19:29:54Z
dc.date.issued2020-01-01
dc.description.abstractLet p be an odd prime. Algebraic lattices of full diversity in dimension p are obtained from ramified cyclic extensions of degree p. The 3, 5, and 7-dimensional lattices are optimal with respect to sphere packing density and therefore are isometric to laminated lattices in those dimensions.en
dc.description.affiliationDepartment of Mathematics and Statistics San Diego State University San Diego
dc.description.affiliationDepartment of Mathematics S˜ao Paulo State University
dc.description.affiliationUniversity of Murcia
dc.description.affiliationFederal University of S˜ao Paulo
dc.format.extent1009-1015
dc.identifierhttp://dx.doi.org/10.12732/ijam.v33i6.4
dc.identifier.citationInternational Journal of Applied Mathematics, v. 33, n. 6, p. 1009-1015, 2020.
dc.identifier.doi10.12732/ijam.v33i6.4
dc.identifier.issn1314-8060
dc.identifier.issn1311-1728
dc.identifier.scopus2-s2.0-85099623568
dc.identifier.urihttp://hdl.handle.net/11449/221650
dc.language.isoeng
dc.relation.ispartofInternational Journal of Applied Mathematics
dc.sourceScopus
dc.subjectcyclotomic fields
dc.subjectlattices
dc.subjectmodulation diversity
dc.subjectpacking density
dc.titleFully-Diverse Lattices from Ramified Cyclic Extensions of Prime Degreeen
dc.typeArtigo

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