dc.creatorAlves C.
dc.creatorCosta S.I.R.
dc.date2013
dc.date2015-06-25T19:11:50Z
dc.date2015-11-26T15:09:18Z
dc.date2015-06-25T19:11:50Z
dc.date2015-11-26T15:09:18Z
dc.date.accessioned2018-03-28T22:19:30Z
dc.date.available2018-03-28T22:19:30Z
dc.identifier
dc.identifierDiscrete Mathematics. , v. 313, n. 16, p. 1677 - 1687, 2013.
dc.identifier0012365X
dc.identifier10.1016/j.disc.2013.04.005
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84884813554&partnerID=40&md5=a37452c766016f5243973217dd1759b6
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/88666
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/88666
dc.identifier2-s2.0-84884813554
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1257788
dc.descriptionSpherical codes in even dimensions n = 2m generated by a commutative group of orthogonal matrices can be determined by a quotient of m-dimensional lattices when the sublattice has an orthogonal basis. We discuss here the existence of orthogonal sublattices of the lattices A2, D3, D4 and E8, which have the best packing density in their dimensions, in order to generate families of commutative group codes approaching the bound presented in Siqueira and Costa (2008) [14]. © 2013 Elsevier B.V. All rights reserved.
dc.description313
dc.description16
dc.description1677
dc.description1687
dc.descriptionBaez, J., The octonions (2001) Bulletin of the American Mathematical Society, 39 (2), pp. 145-205
dc.descriptionBanihashemi, A.H., Blake, I., On the trellis complexity of root lattices and their duals (1999) IEEE Transactions on Information Theory, 45 (6)
dc.descriptionBerstein, M., Sloane, N.J.A., Wright, P.E., On sublattices of the hexagonal lattice (1997) Discrete Mathematics, 170, pp. 29-39
dc.descriptionBiglieri, E., Elia, M., Cyclic-group codes for the Gaussian channel (1976) IEEE Transactions on Information Theory, 22, pp. 624-629
dc.descriptionChapman, R., Double circulant constructions of the Leech lattice (2000) Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 69 (3), pp. 287-297
dc.descriptionCohen, H.C., (1993) A Course in Computational Algebraic Number Theory, , Springer-Verlag, New York
dc.descriptionConway, J.H., Sloane, N.J.A., Sphere packings (1999) Lattices and Groups, , Springer-Verlag, New York
dc.descriptionCosta, S.I.R., Muniz, M., Augustini, E., Palazzo, R., Tessellations and perfect codes on flat tori (2004) IEEE Transactions on Information Theory, 50, pp. 2363-2377
dc.descriptionGantmacher, F.R., (1959) The Theory of Matrices, 1. , Chelsea, New York
dc.descriptionIngemarsson, I., Group codes for the Gaussian channel (1989) Lecture Notes in Control and Information Sciences, 128, pp. 73-108. , Springer Verlag
dc.descriptionLoeliger, H., Signals sets matched to groups (1991) IEEE Transactions on Information Theory, 37, pp. 1675-1682
dc.descriptionMicciancio, D., Goldwasser, S., (2002) Complexity of Lattice Problems-A Cryptographic Perspective, , Kluwer Academic Publishers, Norwell, Massachusetts, USA
dc.descriptionMonteiro, F.A., Kschischang, F.R., Trellis detection for random lattices (2011) Proc. of 8th International Symposium on Wireless Communication Systems, Aachen
dc.descriptionSiqueira, R.M., Costa, S.I.R., Tori, F., Lattices and bounds for commutative group codes (2008) Designs, Codes and Cryptography, 49, pp. 307-321
dc.descriptionSlepian, D., Group codes for the Gaussian channel (1968) Bell System Technical Journal, 47, pp. 575-602
dc.descriptionTorezzan, C., Costa, S.I.R., Vaishampayan, V.A., Spherical codes on torus layers (2009) Proceedings of the IEEE International Symposium on Information Theory, pp. 2033-2037. , June-July
dc.descriptionTorezzan, C., Strapasson, J.E., Costa, S.I.R., Siqueira, R.M., Optimum Commutative Group Codes, , (arXiv:1205. 4067 [cs. IT])
dc.descriptionVaishampayan, V.A., Costa, S.I.R., Curves on a sphere, shift-map dynamics and error control for continuous alphabet sources (2003) IEEE Transactions on Information Theory, 49
dc.languageen
dc.publisher
dc.relationDiscrete Mathematics
dc.rightsfechado
dc.sourceScopus
dc.titleCommutative Group Codes In R4, R6, R8 And R16-approaching The Bound
dc.typeArtículos de revistas


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