Artículos de revistas
Rotated D N-lattices
Registro en:
Journal Of Number Theory. , v. 132, n. 11, p. 2397 - 2406, 2012.
0022314X
10.1016/j.jnt.2012.05.002
2-s2.0-84864385248
Autor
Jorge G.C.
Ferrari A.J.
Costa S.I.R.
Institución
Resumen
Based on algebraic number theory we construct some families of rotated D n-lattices with full diversity which can be good for signal transmission over both Gaussian and Rayleigh fading channels. Closed-form expressions for the minimum product distance of those lattices are obtained through algebraic properties. © 2012 Elsevier Inc. 132 11 2397 2406 Andrade, A.A., Alves, C., Carlos, T.B., Rotated lattices via the cyclotomic field Q(ζ2r) (2006) Int. J. Appl. Math., 19 (3), pp. 321-331 Bayer-Fluckiger, E., Lattices and number fields (1999) Contemp. Math., 241, pp. 69-84 Bayer-Fluckiger, E., Ideal lattices (2002) Proceedings of the Conference Number Theory and Diophantine Geometry, pp. 168-184. , Cambridge Univ. Press Bayer-Fluckiger, E., Upper bounds for Euclidean minima of algebraic number fields (2006) J. Number Theory, 121 (2), pp. 305-323 Bayer-Fluckiger, E., Nebe, G., On the Euclidean minimum of some real number fields (2005) J. Theor. Nombres Bordeaux, 17 (2), pp. 437-454 Bayer-Fluckiger, E., Oggier, F., Viterbo, E., New algebraic constructions of rotated Zn-lattice constellations for the Rayleigh fading channel (2004) IEEE Trans. Inform. Theory, 50 (4), pp. 702-714 Bayer-Fluckiger, E., Suarez, I., Ideal lattices over totally real number fields and Euclidean minima (2006) Arch. Math., 86 (3), pp. 217-225 Boutros, J., Viterbo, E., Rastello, C., Belfiori, J.C., Good lattice constellations for both Rayleigh fading and Gaussian channels (1996) IEEE Trans. Inform. Theory, 42 (2), pp. 502-517 Conway, J.H., Sloane, N.J.A., (1988) Sphere Packings, Lattices and Groups, , Springer-Verlag Lopes, J.O.D., Discriminants of subfields of Q(ζ2r) (2003) J. Algebra Appl., 2, pp. 463-469 Micciancio, D., Goldwasser, S., Complexity of Lattice Problems: A Cryptographic Perspective (2002) Kluwer Internat. Ser. Engrg. Comput. Sci., 671. , Kluwer Academic Publishers Samuel, P., (1970) Algebraic Theory of Numbers, , Hermann, Paris Stewart, I.N., Tall, D.O., (1987) Algebraic Number Theory, , Chapman & Hall, London Washington, L.C., (1982) Introduction to Ciclotomic Fields, , Springer-Verlag, New York