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Construction of complex nested ideal lattices for complex-valued channel quantization
(2018-01-01)
In this work we develop a new algebraic methodology which quantizes complex-valued channels in order to realize interference alignment (IA) onto a complex ideal lattice. Also we make use of the minimum mean square error ...
Famílias de reticulados algébricos e reticulados ideais
(Universidade Estadual Paulista (Unesp), 2010-02-26)
Neste trabalho é feito um estudo sobre famílias de reticulados algébricos e reticulados ideais. Nosso principal objetivo é a construção de reticulados que são versões rotacioanadas de reticulados já conhecidos na literatura. ...
E8-lattice via the cyclotomic field Q(ξ24)
(2018-01-01)
Lattices can be applied in different areas of research, particularly, they can be applied in information theory and encryption schemes. Signal constellations having lattice structure have been used as a support for signal ...
On fuzzy ideals and fuzzy filters of fuzzy lattices
(Universidade Federal do Rio Grande do NorteBRUFRNPrograma de Pós-Graduação em Sistemas e ComputaçãoCiência da Computação, 2013-12-06)
Construction of nested real ideal lattices for interference channel coding
(2019-01-01)
In this work we develop a new algebraic methodology which quantizes real-valued channels in order to realize interference alignment (IA) onto a real ideal lattice. Also we make use of the minimum mean square error (MMSE) ...
Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices
(2020-01-01)
In this paper, we construct some families of rotated unimodular lattices and rotated direct sum of Barnes-Wall lattices BWn for n = 4, 8 and 16 via ideals of the ring of the integers azeta&2rq + ;zeta&2rq-1] for q = 3, 5 ...
An Extension of Craig's Family of Lattices
(Canadian Mathematical Soc, 2011-12-01)
Let p be a prime, and let zeta(p) be a primitive p-th root of unity. The lattices in Craig's family are (p - 1)-dimensional and are geometrical representations of the integral Z[zeta(p)]-ideals < 1 - zeta(p)>(i), where i ...
On rotated D-n-lattices constructed via totally real number fields
(Springer Basel AgBaselSuíça, 2013)
Reticulados algébricos via corpos abelianos
(Universidade Estadual Paulista (Unesp), 2008-02-22)
Dado um ideal A do anel dos inteiros algébricos de um corpo de números, tem-se que a imagem deste ideal via o homomorfissmo de Minkowski é um reticulado no Rn, chamado de reticulado algébrico. Deste modo, o principal ...