dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:30:47Z
dc.date.accessioned2022-10-05T17:01:05Z
dc.date.available2014-05-20T15:30:47Z
dc.date.available2022-10-05T17:01:05Z
dc.date.created2014-05-20T15:30:47Z
dc.date.issued2012-12-01
dc.identifierJournal of The Franklin Institute-engineering and Applied Mathematics. Oxford: Pergamon-Elsevier B.V. Ltd, v. 349, n. 10, p. 3060-3077, 2012.
dc.identifier0016-0032
dc.identifierhttp://hdl.handle.net/11449/40092
dc.identifier10.1016/j.jfranklin.2012.09.007
dc.identifierWOS:000312476100007
dc.identifier8940498347481982
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3911109
dc.description.abstractRecently, minimum and non-minimum delay perfect codes were proposed for any channel of dimension n. Their construction appears in the literature as a subset of cyclic division algebras over Q(zeta(3)) only for the dimension n = 2(s)n(1), where s is an element of {0,1}, n(1) is odd and the signal constellations are isomorphic to Z[zeta(3)](n) In this work, we propose an innovative methodology to extend the construction of minimum and non-minimum delay perfect codes as a subset of cyclic division algebras over Q(zeta(3)), where the signal constellations are isomorphic to the hexagonal A(2)(n)-rotated lattice, for any channel of any dimension n such that gcd(n,3) = 1. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
dc.languageeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.relationJournal of The Franklin Institute-engineering and Applied Mathematics
dc.relation3.576
dc.relation1,322
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.titleOn the construction of perfect codes from HEX signal constellations
dc.typeArtigo


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